Question

PLEASE HELP WILL MEDAL AND FAN
question below

Answer 1

\[\log_{2}\frac{ 1 }{ \sqrt[7]{2} } \]

Answer 2

\[\large \log_{2} \frac{1}{\sqrt[7]{2}}=\log_{2} 2^{-\frac{1}{7}}\]
\[\large 2^{x}=2^{-\frac{1}{7}}\]
The required log to base 2 is therefore the value of x.
\[\large x=-\frac{1}{7}\]