Question

How do you solve $4^x=16$?

Answer 1

Evaluate the value of $\mathit{x}$:

It's given that, $4^x=16$ and $16=4^2$. Then,

$\Rightarrow 4^x=4^2$

If the bases are the same, then the exponents must be equal. (property of equality of exponential functions)

$\Rightarrow x=2$

Therefore, the value of $\mathit{x}$ for ${\mathbf{4}}^{\mathbf{x}}\mathbf{=}\mathbf{16}$ is $\mathbf{2}$.