diff --git a/libc/src/math/generic/log2f.cpp b/libc/src/math/generic/log2f.cpp
--- a/libc/src/math/generic/log2f.cpp
+++ b/libc/src/math/generic/log2f.cpp
@@ -105,11 +105,24 @@
   int m = 0;
 
   // Hard to round value(s).
-  if (FPBits(x).uintval() == 0x3f81d0b5U) {
+  switch (FPBits(x).uintval()) {
+  case 0x3f81d0b5U: {
     int rounding_mode = fputil::get_round();
     if (rounding_mode == FE_DOWNWARD || rounding_mode == FE_TOWARDZERO) {
       return 0x1.4cdc4cp-6f;
     }
+    break;
+  }
+  case 0x3f7e3274U:
+    if (fputil::get_round() == FE_TONEAREST) {
+      return -0x1.4e1d16p-7f;
+    }
+    break;
+  case 0x3f7d57f5U:
+    if (fputil::get_round() == FE_TOWARDZERO) {
+      return -0x1.ed1c32p-7f;
+    }
+    break;
   }
 
   // Exceptional inputs.
diff --git a/libc/test/src/math/log2f_test.cpp b/libc/test/src/math/log2f_test.cpp
--- a/libc/test/src/math/log2f_test.cpp
+++ b/libc/test/src/math/log2f_test.cpp
@@ -31,10 +31,10 @@
 }
 
 TEST(LlvmLibcLog2fTest, TrickyInputs) {
-  constexpr int N = 9;
-  constexpr uint32_t INPUTS[N] = {0x3f7d57f5U, 0x3f7ed848U, 0x3f7fd6ccU,
-                                  0x3f7fffffU, 0x3f80079bU, 0x3f81d0b5U,
-                                  0x3f82e602U, 0x3f83c98dU, 0x3f8cba39U};
+  constexpr int N = 10;
+  constexpr uint32_t INPUTS[N] = {
+      0x3f7d57f5U, 0x3f7e3274U, 0x3f7ed848U, 0x3f7fd6ccU, 0x3f7fffffU,
+      0x3f80079bU, 0x3f81d0b5U, 0x3f82e602U, 0x3f83c98dU, 0x3f8cba39U};
 
   for (int i = 0; i < N; ++i) {
     float x = float(FPBits(INPUTS[i]));