Question

$2\log 2-3\log 4$ can be written as a single logarithm with base as $10$ as______

• A. $\log \frac{8}{81}$
• B. $\log 12$
• C. $\log 81$
• D. $\log \frac{4}{64}$

Answer 1

The correct option is D $\log \frac{4}{64}$

$2\log 2-3\log 4$

$=\log 2^2-\log 4^3$

$=\log 4-\log 64$

$=\log \frac{4}{64}$

Hence, D is the correct option.