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If 2^(x) = 32, what is the value of x?

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Question: If 2^(x) = 32, what is the value of x?

Options:

  1. 4
  2. 5
  3. 6
  4. 7

Correct Answer: 5

Solution: 

32 = 2^(5), so x = 5.

If 2^(x) = 32, what is the value of x?

Practice Questions

Q1
If 2^(x) = 32, what is the value of x?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

If 2^(x) = 32, what is the value of x?
Correct Answer: 5
  • Step 1: Understand the equation 2^(x) = 32.
  • Step 2: Recognize that 32 can be expressed as a power of 2.
  • Step 3: Find the power of 2 that equals 32. This is 2^(5) because 2 * 2 * 2 * 2 * 2 = 32.
  • Step 4: Set the exponents equal to each other since the bases are the same: x = 5.
  • Step 5: Conclude that the value of x is 5.
  • Exponential Equations – Understanding how to solve equations where the variable is an exponent.
  • Base Conversion – Recognizing that 32 can be expressed as a power of 2.
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