diff --git a/lang/runtime/el_runtime.c b/lang/runtime/el_runtime.c
index 264fe7e..dde1acd 100644
--- a/lang/runtime/el_runtime.c
+++ b/lang/runtime/el_runtime.c
@@ -5240,7 +5240,12 @@ el_val_t str_to_float(el_val_t s) {
 /* ── Math (Float-aware) ──────────────────────────────────────────────────── */
 
 el_val_t math_sqrt(el_val_t f) { return el_from_float(sqrt(el_to_float(f))); }
-el_val_t math_log(el_val_t f)  { return el_from_float(log(el_to_float(f))); }
+/* base-10, matching runtime/math.el's documented contract ("math_log — base-10
+ * logarithm") and el_seed.c's __log_f. This returned NATURAL log, so math_log
+ * and math_ln were the same function: log10(100) gave 4.605 instead of 2.
+ * Caught by tests/native/test_math.el on the new framework's first run — the
+ * assertion existed all along, the suite just had no way to report it. */
+el_val_t math_log(el_val_t f)  { return el_from_float(log10(el_to_float(f))); }
 el_val_t math_ln(el_val_t f)   { return el_from_float(log(el_to_float(f))); }
 el_val_t math_sin(el_val_t f)  { return el_from_float(sin(el_to_float(f))); }
 el_val_t math_cos(el_val_t f)  { return el_from_float(cos(el_to_float(f))); }