Question

Let N=
\[\Large \frac{ 4^{5}+4^{5}+4^{5}+4^{5} }{ 3^{5}+3^{5}+3^{3} }.\frac{ 6^{5}+6^{5}+6^{5}+6^{5}+6^{5}+6^{5} }{ 2^{5}+2^{5} }\]
then
\[\huge \log_2{N} \]is

Answer 1

Please just give a hint only if possible , let me work it on my own

Answer 2

hint :

\[a^n + a^n + a^n + \cdots a\text{ times} = a^n(1 + 1 + \cdots a\text{ times} ) = a^n(a) = a^{n+1}\]