Question

How do you solve $2^x=64$?

Answer 1

Solve for the value of $x$:

$64$ can be expressed in powers of $2$ as

$$\begin{gathered} 64=2\times 2\times 2\times 2\times 2\times 2 \\ 64=2^6 \end{gathered}$$

Now compare with the given expression

$$\begin{gathered} 2^x=2^6 \\ x=6 \end{gathered}$$

Hence, the value of $x$ is $6$.