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What is the base of the logarithm if log_2(8) = 3?

Practice Questions

Q1
What is the base of the logarithm if log_2(8) = 3?
  1. 2
  2. 3
  3. 4
  4. 8

Questions & Step-by-Step Solutions

What is the base of the logarithm if log_2(8) = 3?
  • Step 1: Understand what log_2(8) means. It asks, 'To what power do we raise 2 to get 8?'
  • Step 2: Recognize that 8 can be written as a power of 2. Specifically, 8 = 2^3.
  • Step 3: Since 2 raised to the power of 3 equals 8, we can say that log_2(8) = 3.
  • Step 4: Identify the base of the logarithm. In this case, the base is 2.
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