Answer
$ \log_{b} 60 =22$
Work Step by Step
Given $\log _{b} 30=8, \quad \log _{b} 2=14$
$\log _{b} 60=?$
using $\log _{b}(m n)=\log _{b} m+\log _{b} n$
put $m=30, n=2$
$\Rightarrow \log _{b}(30 \times 2)=\log _{b} 30+\log _{b} 2$
$\Rightarrow \log _{b} 60=8+14$
$\therefore \log_{b} 60 =22$
