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If 4^x = 64, what is the value of x?

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Question: If 4^x = 64, what is the value of x?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 3

Solution: 

Since 64 = 4^3, we have x = 3.

If 4^x = 64, what is the value of x?

Practice Questions

Q1
If 4^x = 64, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If 4^x = 64, what is the value of x?
  • Step 1: Understand the equation 4^x = 64.
  • Step 2: Rewrite 64 as a power of 4. We know that 4^3 = 64.
  • Step 3: Now we have 4^x = 4^3.
  • Step 4: Since the bases (4) are the same, we can set the exponents equal to each other: x = 3.
  • Step 5: Therefore, the value of x is 3.
  • Exponential Equations – Understanding how to manipulate and solve equations involving exponents.
  • Base Conversion – Recognizing that different numbers can be expressed as powers of the same base.
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