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If log4(64) = x, what is the value of x?

Practice Questions

Q1
If log4(64) = x, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If log4(64) = x, what is the value of x?
Correct Answer: 3
  • Step 1: Understand the question. We need to find the value of x in the equation log4(64) = x.
  • Step 2: Recall what a logarithm means. log4(64) asks the question: 'To what power do we raise 4 to get 64?'
  • Step 3: Rewrite 64 as a power of 4. We know that 4^3 = 64.
  • Step 4: Since 4 raised to the power of 3 equals 64, we can say that x = 3.
  • Step 5: Therefore, the value of x is 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express a number as a power of a base.
  • Exponential Equations – Recognizing and manipulating exponential forms to solve for unknowns.
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