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If log_2(x) = 5, what is the value of x?

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Question: If log_2(x) = 5, what is the value of x?

Options:

  1. 16
  2. 32
  3. 64
  4. 128

Correct Answer: 64

Solution: 

log_2(x) = 5 implies x = 2^5 = 32.

If log_2(x) = 5, what is the value of x?

Practice Questions

Q1
If log_2(x) = 5, what is the value of x?
  1. 16
  2. 32
  3. 64
  4. 128

Questions & Step-by-Step Solutions

If log_2(x) = 5, what is the value of x?
Correct Answer: 32
  • Step 1: Understand that log_2(x) = 5 means that 2 raised to what power equals x.
  • Step 2: Rewrite the equation in exponential form: x = 2^5.
  • Step 3: Calculate 2 raised to the power of 5: 2 * 2 * 2 * 2 * 2.
  • Step 4: Perform the multiplication: 2 * 2 = 4, 4 * 2 = 8, 8 * 2 = 16, 16 * 2 = 32.
  • Step 5: Conclude that x = 32.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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