If (2^3)^2 = 4^x, then 3^x = - Vidyadip

MCQ

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

A
$3$
B
$6$
C
$9$
✓
$27$

✓

Answer

Correct option: D.

$27$

We have to find the value of $3^x$ provided $(2^3)^2 = 4^x$
So, $2^{3\times 2} = 2^{2x}$
$2^6= 2^{2x}$
By equating the exponents we get
$6 = 2x$
$\frac{6}{2}=\text{x}$
$3 = x$
By substituting in $3^x$ we get
$3^x = 3^3$
$= 27$
The value of $3^x$ is $27$

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