Question

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

• A. $\log \frac{8}{81}$
• B. $\log 12$
• C. $\log 81$
• D. $\log 6$

Answer 1

The correct option is A $\log \frac{8}{81}$

$3\log 2-4\log 3$

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

$=\log 8-\log 81$

$=\log \frac{8}{81}$

Hence, A is the correct option.