diff --git a/include/clad/Differentiator/BuiltinDerivatives.h b/include/clad/Differentiator/BuiltinDerivatives.h
index a27373871..92b9094ea 100644
--- a/include/clad/Differentiator/BuiltinDerivatives.h
+++ b/include/clad/Differentiator/BuiltinDerivatives.h
@@ -72,6 +72,16 @@ ValueAndPushforward<int, int> cudaDeviceSynchronize_pushforward()
 }
 #endif
 
+CUDA_HOST_DEVICE inline ValueAndPushforward<float, float>
+__builtin_logf_pushforward(float x, float d_x) {
+  return {__builtin_logf(x), (1.F / x) * d_x};
+}
+
+CUDA_HOST_DEVICE inline ValueAndPushforward<double, double>
+__builtin_log_pushforward(double x, double d_x) {
+  return {__builtin_log(x), (1.0 / x) * d_x};
+}
+
 CUDA_HOST_DEVICE inline ValueAndPushforward<double, double>
 __builtin_pow_pushforward(double x, double exponent, double d_x,
                           double d_exponent) {
diff --git a/test/FirstDerivative/BuiltinDerivatives.C b/test/FirstDerivative/BuiltinDerivatives.C
index 533192012..585ba95fb 100644
--- a/test/FirstDerivative/BuiltinDerivatives.C
+++ b/test/FirstDerivative/BuiltinDerivatives.C
@@ -248,7 +248,7 @@ double f13(double x) {
 //CHECK-NEXT: }
 
 double f14(double x) {
-  return __builtin_pow(x, 2);
+  return __builtin_pow(x, 3);
 }
 
 int main () { //expected-no-diagnostics
@@ -324,7 +324,10 @@ int main () { //expected-no-diagnostics
   printf("Result is = %.2f\n", f13_ddx.execute(1)); //CHECK-EXEC: Result is = 2.72
 
   auto f14_darg0 = clad::differentiate(f14, 0);
-  printf("Result is = %f\n", f14_darg0.execute(1)); //CHECK-EXEC: Result is = 2.000000
+  printf("Result is = %f\n", f14_darg0.execute(1)); //CHECK-EXEC: Result is = 3.000000
+
+  auto f14_ddarg0 = clad::differentiate<2>(f14, 0);
+  printf("Result is = %f\n", f14_ddarg0.execute(1)); //CHECK-EXEC: Result is = 6.000000
 
   return 0;
 }