Question

If ${\log }_{9}243=x$ is expressed as $x$ = $m\frac{1}{2}$, then the value of $m$ is equal to

• A. $2$
• B. $4$
• C. $3$
• D. $6$

Answer 1

The correct option is A $2$

Given, ${\log }_{9}243=x$

Converting in exponential form,

$243=9^x$

$3^5=3^{2x}$

Equating the powers, we get

$5=2x$

$\therefore x=\frac{5}{2}=2\frac{1}{2}$

$\therefore m=2$