Question

If $7^{2x}÷7^3=7^9$, then find the value of $x$

• A. $1$
• B. $2$
• C. $6$
• D. $4$

Answer 1

The correct option is C $6$

$7^{2x}÷7^{-3}=7^{2x+3}$
Also, $7^{2x+3}=7^9$
$\therefore 2x+3=9$
$\therefore 2x=6$
$\therefore x=3$

So, option $C$ is correct.