diff --git a/sway-lib-std/src/flags.sw b/sway-lib-std/src/flags.sw
index 7f1d012b15..7f29feae18 100644
--- a/sway-lib-std/src/flags.sw
+++ b/sway-lib-std/src/flags.sw
@@ -4,13 +4,13 @@ library;
 use ::{assert::assert, logging::log, registers::{error, flags}};
 
 // Mask second bit, which is `F_WRAPPING`.
-const F_WRAPPING_DISABLE_MASK: u64 = 0b00000000_00000000_00000000_00000000_00000000_00000000_00000000_00000010;
+pub const F_WRAPPING_DISABLE_MASK: u64 = 0b00000000_00000000_00000000_00000000_00000000_00000000_00000000_00000010;
 // Mask second bit, which is `F_WRAPPING`.
-const F_WRAPPING_ENABLE_MASK: u64 = 0b11111111_11111111_11111111_11111111_11111111_11111111_11111111_11111101;
+pub const F_WRAPPING_ENABLE_MASK: u64 = 0b11111111_11111111_11111111_11111111_11111111_11111111_11111111_11111101;
 // Mask first bit, which is `F_UNSAFEMATH`.
-const F_UNSAFEMATH_DISABLE_MASK: u64 = 0b00000000_00000000_00000000_00000000_00000000_00000000_00000000_00000001;
+pub const F_UNSAFEMATH_DISABLE_MASK: u64 = 0b00000000_00000000_00000000_00000000_00000000_00000000_00000000_00000001;
 // Mask first bit, which is `F_UNSAFEMATH`.
-const F_UNSAFEMATH_ENABLE_MASK: u64 = 0b11111111_11111111_11111111_11111111_11111111_11111111_11111111_11111110;
+pub const F_UNSAFEMATH_ENABLE_MASK: u64 = 0b11111111_11111111_11111111_11111111_11111111_11111111_11111111_11111110;
 
 /// Sets the flag register to the given value.
 ///
diff --git a/sway-lib-std/src/lib.sw b/sway-lib-std/src/lib.sw
index cfa77928d0..bd1c213b1a 100644
--- a/sway-lib-std/src/lib.sw
+++ b/sway-lib-std/src/lib.sw
@@ -14,8 +14,8 @@ pub mod registers;
 pub mod iterator;
 pub mod vec;
 pub mod bytes;
-pub mod math;
 pub mod flags;
+pub mod math;
 pub mod u128;
 pub mod b512;
 pub mod primitive_conversions;
diff --git a/sway-lib-std/src/math.sw b/sway-lib-std/src/math.sw
index 2b729cadbf..9fbe4721a9 100644
--- a/sway-lib-std/src/math.sw
+++ b/sway-lib-std/src/math.sw
@@ -1,6 +1,10 @@
 //! Utilities for common math operations.
 library;
 
+use ::assert::*;
+use ::flags::{disable_panic_on_overflow, F_UNSAFEMATH_DISABLE_MASK, set_flags};
+use ::registers::{flags, overflow};
+
 /// Calculates the square root.
 pub trait Root {
     fn sqrt(self) -> Self;
@@ -213,8 +217,12 @@ impl BinaryLogarithm for u8 {
 
 impl BinaryLogarithm for u256 {
     fn log2(self) -> Self {
-        use ::assert::*;
-        assert(self != 0);
+        // If panic on unsafe math is enabled, only then revert
+        if flags() & F_UNSAFEMATH_DISABLE_MASK == 0 {
+            // Logarithm is undefined for 0
+            assert(self != 0);
+        }
+
         let (a, b, c, d) = asm(r1: self) {
             r1: (u64, u64, u64, u64)
         };
@@ -233,9 +241,58 @@ impl BinaryLogarithm for u256 {
 
 impl Logarithm for u256 {
     fn log(self, base: Self) -> Self {
+        let flags = disable_panic_on_overflow();
+
+        // If panic on unsafe math is enabled, only then revert
+        if flags & F_UNSAFEMATH_DISABLE_MASK == 0 {
+            // Logarithm is undefined for bases less than 2
+            assert(base >= 2);
+            // Logarithm is undefined for 0
+            assert(self != 0);
+        }
+
+        // Decimals rounded to 0
+        if self < base {
+            return 0x00u256;
+        }
+
+        // Estimating the result using change of base formula. Only an estimate because we are doing uint calculations.
         let self_log2 = self.log2();
         let base_log2 = base.log2();
-        self_log2 / base_log2
+        let mut result = (self_log2 / base_log2);
+
+        // Converting u256 to u32, this cannot fail as the result will be atmost ~256
+        let parts = asm(r1: result) {
+            r1: (u64, u64, u64, u64)
+        };
+        let res_u32 = asm(r1: parts.3) {
+            r1: u32
+        };
+
+        // Raising the base to the power of the result
+        let mut pow_res = base.pow(res_u32);
+        let mut of = overflow();
+
+        // Adjusting the result until the power is less than or equal to self
+        // If pow_res is > than self, then there is an overestimation. If there is an overflow then there is definitely an overestimation.
+        while (pow_res > self) || (of > 0) {
+            result -= 1;
+
+            // Converting u256 to u32, this cannot fail as the result will be atmost ~256
+            let parts = asm(r1: result) {
+                r1: (u64, u64, u64, u64)
+            };
+            let res_u32 = asm(r1: parts.3) {
+                r1: u32
+            };
+
+            pow_res = base.pow(res_u32);
+            of = overflow();
+        };
+
+        set_flags(flags);
+
+        result
     }
 }
 
diff --git a/test/src/in_language_tests/test_programs/math_inline_tests/src/main.sw b/test/src/in_language_tests/test_programs/math_inline_tests/src/main.sw
index 02e0cc2458..712409a7df 100644
--- a/test/src/in_language_tests/test_programs/math_inline_tests/src/main.sw
+++ b/test/src/in_language_tests/test_programs/math_inline_tests/src/main.sw
@@ -367,3 +367,266 @@ fn math_b256_zero() {
     let other_b256 = 0x0000000000000000000000000000000000000000000000000000000000000001;
     assert(!other_b256.is_zero());
 }
+
+#[test]
+fn math_test_parity_u256_log_with_ruint() {
+    // Failure cases found by comparing parity with ruint implementation of U256
+    // https://docs.rs/ruint/latest/src/ruint/log.rs.html#45-89
+    let a = [
+        2, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10,
+        10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 15, 16, 16, 16, 16, 16,
+        16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17,
+        17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
+        18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20,
+        20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
+        21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23,
+        23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25,
+        25, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 29,
+        29, 29, 29, 29, 30, 30, 30, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
+        32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33,
+        33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
+        33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
+        34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35,
+        35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35,
+        35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
+        36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37,
+        37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38,
+        38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39,
+        39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40,
+        40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40,
+        41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41,
+        41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42,
+        42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43,
+        44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45,
+        45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46,
+        46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47,
+        47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48,
+        48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50,
+        50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 52,
+        52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54,
+        54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56,
+        56, 56, 56, 57, 57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 60, 60,
+        60, 60, 61, 61, 61, 62, 62, 63, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64,
+        64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64,
+        64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65,
+        65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65,
+        65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66,
+        66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66,
+        66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67,
+        67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67,
+        67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68,
+        68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68,
+        68, 68, 68, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69,
+        69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70,
+        70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70,
+        70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71,
+        71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71,
+        71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72,
+        72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72,
+        72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73,
+        73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74,
+        74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74,
+        74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75,
+        75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75,
+        76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76,
+        76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77,
+        77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77,
+        78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78,
+        78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79,
+        79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80,
+        80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
+        80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81,
+        81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82,
+        82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 83,
+        83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 84, 84, 84, 84,
+        84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 85,
+        85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85,
+        85, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86,
+        86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87,
+        87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88,
+        88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 90,
+        90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 91, 91, 91, 91,
+        91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 92, 92, 92, 92, 92, 92, 92, 92,
+        92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93,
+        93, 93, 93, 93, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 95, 95, 95,
+        95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,
+        96, 96, 96, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 98, 98, 98, 98, 98, 98, 98,
+        98, 98, 98, 98, 98, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 100, 100, 100, 100, 100,
+        100, 100, 100, 100,
+    ];
+    let b = [
+        3, 3, 5, 6, 7, 3, 6, 7, 3, 7, 3, 3, 9, 10, 11, 12, 13, 14, 15, 3, 10, 11, 12, 13, 14, 15,
+        3, 11, 12, 13, 14, 15, 3, 12, 13, 14, 15, 3, 13, 14, 15, 3, 14, 15, 3, 15, 3, 3, 5, 6, 7,
+        17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 3, 5, 6, 7, 18, 19, 20, 21, 22,
+        23, 24, 25, 26, 27, 28, 29, 30, 31, 3, 5, 6, 7, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+        30, 31, 3, 5, 6, 7, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 3, 5, 6, 7, 21, 22, 23,
+        24, 25, 26, 27, 28, 29, 30, 31, 3, 5, 6, 7, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 3, 5,
+        6, 7, 23, 24, 25, 26, 27, 28, 29, 30, 31, 3, 5, 6, 7, 24, 25, 26, 27, 28, 29, 30, 31, 3, 5,
+        6, 7, 25, 26, 27, 28, 29, 30, 31, 3, 6, 7, 26, 27, 28, 29, 30, 31, 3, 6, 7, 27, 28, 29, 30,
+        31, 3, 6, 7, 28, 29, 30, 31, 3, 6, 7, 29, 30, 31, 3, 6, 7, 30, 31, 3, 6, 7, 31, 3, 6, 7, 3,
+        6, 7, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+        54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 6, 7, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,
+        44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 6, 7,
+        35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,
+        58, 59, 60, 61, 62, 63, 3, 6, 7, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+        50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 37, 38, 39, 40, 41, 42, 43,
+        44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 38,
+        39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+        62, 63, 3, 7, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,
+        58, 59, 60, 61, 62, 63, 3, 7, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,
+        55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52,
+        53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51,
+        52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 43, 44, 45, 46, 47, 48, 49, 50, 51,
+        52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 44, 45, 46, 47, 48, 49, 50, 51, 52,
+        53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,
+        55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,
+        58, 59, 60, 61, 62, 63, 3, 7, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+        62, 63, 3, 7, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 7, 49, 50,
+        51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 50, 51, 52, 53, 54, 55, 56, 57, 58,
+        59, 60, 61, 62, 63, 3, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 52, 53, 54,
+        55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 54,
+        55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3, 56, 57, 58,
+        59, 60, 61, 62, 63, 3, 57, 58, 59, 60, 61, 62, 63, 3, 58, 59, 60, 61, 62, 63, 3, 59, 60,
+        61, 62, 63, 3, 60, 61, 62, 63, 3, 61, 62, 63, 3, 62, 63, 3, 63, 3, 3, 5, 6, 7, 9, 10, 11,
+        12, 13, 14, 15, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
+        84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11,
+        12, 13, 14, 15, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84,
+        85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12,
+        13, 14, 15, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86,
+        87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14,
+        15, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+        90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 69, 70,
+        71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,
+        94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 70, 71, 72, 73, 74, 75,
+        76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,
+        99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
+        82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9,
+        10, 11, 12, 13, 14, 15, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88,
+        89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 73,
+        74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96,
+        97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 74, 75, 76, 77, 78, 79, 80, 81, 82,
+        83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10,
+        11, 12, 13, 14, 15, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
+        93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 76, 77, 78, 79, 80,
+        81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6,
+        7, 9, 10, 11, 12, 13, 14, 15, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
+        92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 78, 79, 80, 81,
+        82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9,
+        10, 11, 12, 13, 14, 15, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
+        96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 80, 81, 82, 83, 84, 85, 86, 87,
+        88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15,
+        81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6,
+        7, 10, 11, 12, 13, 14, 15, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,
+        98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
+        93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 84, 85, 86, 87, 88,
+        89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 85,
+        86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13,
+        14, 15, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11,
+        12, 13, 14, 15, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10,
+        11, 12, 13, 14, 15, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10,
+        11, 12, 13, 14, 15, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11,
+        12, 13, 14, 15, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13,
+        14, 15, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 92,
+        93, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 93, 94, 95, 96, 97,
+        98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 94, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7,
+        10, 11, 12, 13, 14, 15, 95, 96, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 96,
+        97, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 97, 98, 99, 100, 3, 5, 6, 7, 10, 11,
+        12, 13, 14, 15, 98, 99, 100, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 99, 100, 3, 5, 6, 7, 10,
+        11, 12, 13, 14, 15, 100, 3, 5, 6, 7, 11, 12, 13, 14, 15,
+    ];
+    let expected = [
+        0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,
+        0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1,
+        1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0,
+        0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 0, 0, 0, 0, 3, 1, 1, 0,
+        0, 0, 3, 1, 1, 0, 0, 3, 1, 1, 0, 3, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,
+        1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0,
+        0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 2, 2, 2, 1, 1, 1,
+        1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2,
+        1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1,
+        1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+        1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+        1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2,
+        2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+        1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1,
+        1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1,
+        1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2,
+        1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1,
+        1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1,
+        1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2,
+        2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+        0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1,
+        1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 2, 2, 2,
+        1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 2, 2, 2, 1, 1, 1,
+        1, 1, 1, 0, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 4, 2, 2, 2, 1, 1, 1, 1, 1,
+    ];
+
+    let mut i = 0;
+
+    while i < 1825 {
+        let ai: u64 = a[i];
+        let bi: u64 = b[i];
+        let expected_val: u64 = expected[i];
+
+        let result = u256::from(ai).log(u256::from(bi));
+        assert_eq(result, u256::from(expected_val));
+        i += 1;
+    }
+}
+
+#[test(should_revert)]
+fn math_u256_log_fail_base_0() {
+    let _result = u256::from(2_u64).log(u256::from(0_u64));
+}
+
+#[test(should_revert)]
+fn math_u256_log_fail_base_1() {
+    let _result = u256::from(2_u64).log(u256::from(1_u64));
+}
+
+#[test(should_revert)]
+fn math_u256_log_fail_x_0() {
+    let _result = u256::from(0_u64).log(u256::from(2_u64));
+}
+
+#[test(should_revert)]
+fn math_u256_log2_fail_x_0() {
+    let _result = u256::from(0_u64).log2();
+}
\ No newline at end of file