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If 8^(x) = 64, what is the value of x?

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Question: If 8^(x) = 64, what is the value of x?

Options:

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Correct Answer: 2

Solution: 

64 = 8^2, so x = 2.

If 8^(x) = 64, what is the value of x?

Practice Questions

Q1
If 8^(x) = 64, what is the value of x?
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Questions & Step-by-Step Solutions

If 8^(x) = 64, what is the value of x?
  • Step 1: Understand the equation. We have 8 raised to the power of x, which equals 64.
  • Step 2: Rewrite 64 as a power of 8. We know that 64 can be expressed as 8 raised to the power of 2 (since 8 * 8 = 64).
  • Step 3: Set the exponents equal to each other. Since 8^x = 8^2, we can say that x = 2.
  • Step 4: Conclude that the value of x is 2.
  • Exponential Equations – Understanding how to manipulate and solve equations involving exponents.
  • Base Conversion – Recognizing that both sides of the equation can be expressed with the same base to simplify solving.
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