## Intermediate Algebra (12th Edition)

False; $log_{b}xy=log_{b}x+log_{b}y$
We know that $log_{b}xy=log_{b}x+log_{b}y$ (where $x$, $y$, and $b$ are positive real numbers and $b\ne1$). Therefore, the given statement is false. In $log_{b}xy\ne log_{b}(x+y)$ Instead, $log_{b}xy=log_{b}x+log_{b}y$.