Question

If $3^{2x+1}=81$, then $x$ is equal to:

• A. $1$
• B. $\frac{3}{2}$
• C. $2$
• D. $\frac{5}{2}$
• E. $3$

Answer 1

Answer: (B)

$\frac{3}{2}$

Given, $3^{2x+1}=81$
$\Rightarrow 3^{2x+1}=3^4$
Comparing the power values, we get
$2x+1=4$
$\Rightarrow 2x=3$
$\Rightarrow x=\frac{3}{2}$