diff --git a/manual/math.texi b/manual/math.texi
index c54eaebb65..79bf3a1401 100644
--- a/manual/math.texi
+++ b/manual/math.texi
@@ -560,8 +560,11 @@ These functions return the base-2 logarithm of @var{x}.
 @standardsx{logbfNx, TS 18661-3:2015, math.h}
 @safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
 These functions extract the exponent of @var{x} and return it as a
-floating-point value.  If @code{FLT_RADIX} is two, @code{logb} is equal
-to @code{floor (log2 (fabs (x)))}, except it's probably faster.
+floating-point value.
+If @code{FLT_RADIX} is two,
+@code{logb (x)} is similar to @code{floor (log2 (fabs (x)))},
+except that the latter may give an incorrect integer
+due to intermediate rounding.
 
 If @var{x} is de-normalized, @code{logb} returns the exponent @var{x}
 would have if it were normalized.  If @var{x} is infinity (positive or