JEE Novice - (23)

Algebra Level 3

$\large \begin{cases} \log_{30} 3 & = & a \\ \log_{30} 5 & = & b \\ \log_{30} 16 & = & ? \end{cases}$

Give your answer in terms of $a$ and $b$ .

This question is a part of JEE Novices.