Question

Express in term of $\log 2$ and $\log 3$:
(i) $\log 36$
(ii) $\log 144$

Answer 1

(i) $\log 36=\log \left(2^2{3}^2\right)=\log 2^2+\log 3^2=2\log 2+2\log 3$

(ii) $\log 144=\log \left(2^4{3}^2\right)=\log 2^4+\log 3^2=4\log 2+2\log 3$