Question

If $\log 2=x$ and $\log 3=y$, find out $\log \left(31104\right)$ in terms of $x$ and $y.$

Answer 1

$\log 31104=\log 2^7\times 3^5$

$=\log 2^7+\log 3^5$

$=\log 2+5\log 3$

$=7x+5y$