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Which of the following is equivalent to log5(25)?

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Question: Which of the following is equivalent to log5(25)?

Options:

  1. 1
  2. 2
  3. 0.5
  4. 5

Correct Answer: 2

Solution: 

log5(25) = log5(5^2) = 2.

Which of the following is equivalent to log5(25)?

Practice Questions

Q1
Which of the following is equivalent to log5(25)?
  1. 1
  2. 2
  3. 0.5
  4. 5

Questions & Step-by-Step Solutions

Which of the following is equivalent to log5(25)?
Correct Answer: 2
  • Step 1: Identify the expression we need to evaluate, which is log5(25).
  • Step 2: Recognize that 25 can be rewritten as 5 raised to the power of 2, so we have log5(25) = log5(5^2).
  • Step 3: Use the property of logarithms that states logb(b^x) = x. Here, b is 5 and x is 2.
  • Step 4: Apply the property: log5(5^2) = 2.
  • Step 5: Conclude that log5(25) is equivalent to 2.
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