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The given equation is \( 2^x = 32 \). We need to find the value of \( x \) that satisfies this equation.

### Solution:

We can express \( 32 \) as a power of 2:
\[
32 = 2^5
\]
So, the equation becomes:
\[
2^x = 2^5
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
x = 5
\]

Thus, the value of \( x \) that makes the equation true is \( \boxed{5} \).

Do you want more details or have any questions?

Here are 5 related questions you can explore:
1. What is the solution to \( 2^x = 64 \)?
2. How can you solve equations involving powers with different bases?
3. What if \( 32 \) were expressed as a power of 3 instead of 2?
4. How can logarithms help solve exponential equations?
5. What happens if the base of the exponent is a fraction?

**Tip:** To solve exponential equations like this, try expressing both sides as powers of the same base.

Identify the value of x that would make the following equation a true statement: 2^x = 32

Learn how to solve the exponential equation 2^x = 32 with a step-by-step explanation. Understand the core concept of equating exponents to find the value of x. Suitable for students in Grades 7-9.

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