Answer
$1.581$
Work Step by Step
$6^{p}=17\qquad \color{blue}{\text{ ...apply ln(...) to both sides } }$
$\ln 6^{p}=\ln 17\qquad \color{blue}{\text{ ...apply } \log_{a}x^{r}=r\log_{a}x}$
$p\ln 6=\ln 17\qquad \color{blue}{\text{ ... } /\div \ln 6}$
$p=\displaystyle \frac{\ln 17}{\ln 6}$
$\approx$ $1.581$