Question

The value of ${\log }_3\left[{\log }_2\left\{{\log }_4\left({\log }_{5}625^4\right)\right\}\right]$ is

• A. 0
• B. 1
• C. 2
• D. $3\log 4$

Answer 1

Answer: (A)

(i) $\log a^m=m\log a$.
(ii) Express 625 in terms of base 5 and simplify from the extreme right logarithm.