diff --git a/Lib/test/test_long.py b/Lib/test/test_long.py
index a4f2c1e58..20dab209e 100644
--- a/Lib/test/test_long.py
+++ b/Lib/test/test_long.py
@@ -514,8 +514,6 @@ class LongTest(unittest.TestCase):
         self.assertNotEqual(float(shuge), int(shuge),
             "float(shuge) should not equal int(shuge)")
 
-    # TODO: RUSTPYTHON
-    @unittest.expectedFailure
     def test_logs(self):
         LOG10E = math.log10(math.e)
 
diff --git a/Lib/test/test_math.py b/Lib/test/test_math.py
index be13a363b..796b29983 100644
--- a/Lib/test/test_math.py
+++ b/Lib/test/test_math.py
@@ -1137,8 +1137,6 @@ class MathTests(unittest.TestCase):
             self.assertEqual(math.ldexp(NINF, n), NINF)
             self.assertTrue(math.isnan(math.ldexp(NAN, n)))
 
-    # TODO: RUSTPYTHON
-    @unittest.expectedFailure
     def testLog(self):
         self.assertRaises(TypeError, math.log)
         self.ftest('log(1/e)', math.log(1/math.e), -1)
@@ -1190,8 +1188,6 @@ class MathTests(unittest.TestCase):
         expected = [float(n) for n in range(-1074, 1024)]
         self.assertEqual(actual, expected)
 
-    # TODO: RUSTPYTHON
-    @unittest.expectedFailure
     def testLog10(self):
         self.assertRaises(TypeError, math.log10)
         self.ftest('log10(0.1)', math.log10(0.1), -1)
diff --git a/stdlib/src/math.rs b/stdlib/src/math.rs
index f4256d3ee..4428e53d9 100644
--- a/stdlib/src/math.rs
+++ b/stdlib/src/math.rs
@@ -132,18 +132,9 @@ mod math {
     }
 
     #[pyfunction]
-    fn log(x: ArgIntoFloat, base: OptionalArg<ArgIntoFloat>, vm: &VirtualMachine) -> PyResult<f64> {
-        let x = *x;
-        base.map_or_else(
-            || {
-                if x.is_nan() || x > 0.0_f64 {
-                    Ok(x.ln())
-                } else {
-                    Err(vm.new_value_error("math domain error".to_owned()))
-                }
-            },
-            |base| Ok(x.log(*base)),
-        )
+    fn log(x: PyObjectRef, base: OptionalArg<ArgIntoFloat>, vm: &VirtualMachine) -> PyResult<f64> {
+        let base = base.map(|b| *b).unwrap_or(std::f64::consts::E);
+        log2(x, vm).map(|logx| logx / base.log2())
     }
 
     #[pyfunction]
@@ -179,7 +170,12 @@ mod math {
             }
             Err(float_err) => {
                 if let Ok(x) = x.try_int(vm) {
-                    Ok(int_log2(x.as_bigint()))
+                    let x = x.as_bigint();
+                    if x > &BigInt::zero() {
+                        Ok(int_log2(x))
+                    } else {
+                        Err(vm.new_value_error("math domain error".to_owned()))
+                    }
                 } else {
                     // Return the float error, as it will be more intuitive to users
                     Err(float_err)
@@ -189,13 +185,8 @@ mod math {
     }
 
     #[pyfunction]
-    fn log10(x: ArgIntoFloat, vm: &VirtualMachine) -> PyResult<f64> {
-        let x = *x;
-        if x.is_nan() || x > 0.0_f64 {
-            Ok(x.log10())
-        } else {
-            Err(vm.new_value_error("math domain error".to_owned()))
-        }
+    fn log10(x: PyObjectRef, vm: &VirtualMachine) -> PyResult<f64> {
+        log2(x, vm).map(|logx| logx / 10f64.log2())
     }
 
     #[pyfunction]