Question

The value of ${\log }_5{\log }_3\sqrt{\sqrt[5]{59}}$ is

• A. $1$
• B. $2$
• C. $-2$
• D. $-1$

Answer 1

The correct option is D $-1$

${\log }_5{\log }_3\sqrt{\sqrt[5]{59}}={\log }_5{\log }_3{9}^{1/10}={\log }_5{\log }_3{3}^{1/5}={\log }_5\left(1/5\right)=-1$