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If log2(8) = y, what is the value of y?

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Question: If log2(8) = y, what is the value of y?

Options:

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Correct Answer: 3

Solution: 

log2(8) = 3, so y = 3.

If log2(8) = y, what is the value of y?

Practice Questions

Q1
If log2(8) = y, what is the value of y?
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Questions & Step-by-Step Solutions

If log2(8) = y, what is the value of y?
  • Step 1: Understand what log2(8) means. It asks, 'To what power do we raise 2 to get 8?'
  • Step 2: Think about the powers of 2. We know that 2^1 = 2, 2^2 = 4, and 2^3 = 8.
  • Step 3: Since 2 raised to the power of 3 equals 8, we can say that log2(8) = 3.
  • Step 4: Therefore, if log2(8) = y, then y = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithmic expressions.
  • Base of Logarithm – Recognizing the base of the logarithm (in this case, base 2) and how it affects the calculation.
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