## Intermediate Algebra (12th Edition)

False, $log_{b}x^{r}=rlog_{b}x$
We know that $log_{b}x^{r}=rlog_{b}x$ (where $x$ and $b$ are positive real numbers, $b\ne1$, and $r$ is a real number). Therefore, the given statement is false. $log_{b}x^{r}\ne log_{b}rx$ Instead, $log_{b}x^{r}=rlog_{b}x$.