Question

If $2\log \frac{15}{8}-\log \frac{25}{162}+3\log \frac{4}{9}$ = $\log m$, then the value of $m$ is

• A. $2$
• B. $6$
• C. $4$
• D. $1$

Answer 1

The correct option is A $2$

$2\log \frac{15}{8}-\log \frac{25}{162}+3\log \frac{4}{9}$

$=\log \left(\frac{15\times 15\times 162\times 4\times 4\times 4}{8\times 8\times 25\times 9\times 9\times 9}\right)$

$=\log \left(\frac{162}{9\times 9}\right)=\log 2$