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What is the value of log_5(25) - log_5(5)?

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Question: What is the value of log_5(25) - log_5(5)?

Options:

  1. 1
  2. 0
  3. -1
  4. 2

Correct Answer: 1

Solution: 

log_5(25) = 2 and log_5(5) = 1. Therefore, 2 - 1 = 1.

What is the value of log_5(25) - log_5(5)?

Practice Questions

Q1
What is the value of log_5(25) - log_5(5)?
  1. 1
  2. 0
  3. -1
  4. 2

Questions & Step-by-Step Solutions

What is the value of log_5(25) - log_5(5)?
Correct Answer: 1
  • Step 1: Understand that log_5(25) means 'to what power do we raise 5 to get 25?'.
  • Step 2: Since 5^2 = 25, we find that log_5(25) = 2.
  • Step 3: Now, understand that log_5(5) means 'to what power do we raise 5 to get 5?'.
  • Step 4: Since 5^1 = 5, we find that log_5(5) = 1.
  • Step 5: Now, we subtract the two results: 2 - 1.
  • Step 6: Calculate the result: 2 - 1 = 1.
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