Question

If $\log \frac{\sqrt{8}}{27}$ can be expressed as $\frac{3}{m}\log 2-3\log 3$, then the value of $m$ will be

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (B)

$2$

$\log \frac{\sqrt{8}}{27}=\log \sqrt{8}-\log 27=\log \sqrt{2^3}-\log 3^3=\log 2^{\frac{3}{2}}-\log 3^3=\frac{3}{2}\log 2-3\log 3$