Question

9^m=32 then what is the value of m

Answer 1

$9^{m}=32 \\ m=log_{9}32\\=log_{9}2^5 \\ =5log_{9}2$
from calculator
  as we know by change of base rule
$log_{9}2=\frac{log_{10}2}{log_{10}9}=0.95424$
finally
$m=1.5773$