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Which of the following is the correct interpretation of log_5(1)?

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Question: Which of the following is the correct interpretation of log_5(1)?

Options:

  1. 0
  2. 1
  3. 5
  4. Undefined

Correct Answer: 0

Solution: 

log_5(1) = 0 because any number raised to the power of 0 equals 1.

Which of the following is the correct interpretation of log_5(1)?

Practice Questions

Q1
Which of the following is the correct interpretation of log_5(1)?
  1. 0
  2. 1
  3. 5
  4. Undefined

Questions & Step-by-Step Solutions

Which of the following is the correct interpretation of log_5(1)?
  • Step 1: Understand what log_5(1) means. It asks, 'To what power must we raise 5 to get 1?'
  • Step 2: Recall the property of exponents: Any number raised to the power of 0 equals 1.
  • Step 3: Since 5 raised to the power of 0 equals 1, we can conclude that log_5(1) = 0.
  • Step 4: Therefore, the correct interpretation of log_5(1) is 0.
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