Question

If $(2^3{)}^2=4^x,then{3}^x$ =

• A. 3
• B. 6
• C. 9
• D. 27

Answer 1

The correct option is D

27

$(2^3{)}^2=4^x\Rightarrow 2^{3\times 2}=(2^2{)}^x$

$\Rightarrow 2^6=2^{2x}$

Comparing,

2x = 6 $\Rightarrow x=\frac{6}{2}$ = 3

Now $3^x=(3{)}^3=3\times 3\times$ 3 = 27