Question

If ${\log }_{16}8$ = $\frac{m}{4}$, then value of $m$ is equal to

• A. $1$
• B. $3$
• C. $4$
• D. $2$

Answer 1

The correct option is B $3$

Since, ${\log }_{16}8=\frac{m}{4}$ ...(1)

Let ${\log }_{16}8=x$

Convert in exponential form,

$8={16}^x$

$2^3=2^{4x}$

$\therefore x=\frac{3}{4}$ ...(2)

From (1) and (2),

$m=3$