$$ \left. \begin{array} { | l | l | } \hline 4.2 .2 & { 2 ^ { x } = 64 } \ \hline \end{array} ight. $$

Question

$$ \left. \begin{array} { | l | l | } \hline 4.2 .2 & { 2 ^ { x } = 64 } \ \hline \end{array} ight. $$

UpStudy AI · Accepted Answer

Certainly! Let's solve the equation:

$$
2^x = 64
$$

**Step 1: Express 64 as a Power of 2**

First, recognize that 64 is a power of 2. Specifically:

$$
2^6 = 64
$$

**Step 2: Set the Exponents Equal**

Since the bases are the same (both are 2), you can set the exponents equal to each other:

$$
x = 6
$$

**Solution:**

$$
x = 6
$$
$$ x = 6 $$

\( \left. \begin{array} { | l | l | } \hline 4.2 .2 & { 2 ^ { x } = 64 } \\ \hline \end{array} \right. \)