Question

If 4 to the power of 4 x =4 to the power of 32

Answer 1

ANSWER:

8

EXPLANATION:

Given:

$(4^4)^x=4^{32}$

To find:

The value of x

Simplifying the given equation, we'll have;

$4^{4x}=4^{32}$

Recall the below exponent rule;

$\begin{gathered} a^m=a^b \\ \therefore m=b \end{gathered}$

Applying the above rule we'll have;

$\begin{gathered} 4^{4x}=4^{32} \\ 4x=32 \\ \frac{4x}{4}=\frac{32}{4} \\ x=8 \end{gathered}$

So the value of x is 8