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Which of the following is the correct simplification of log_5(25) - log_5(5)?

Practice Questions

Q1
Which of the following is the correct simplification of log_5(25) - log_5(5)?
  1. 1
  2. 0
  3. 2
  4. 5

Questions & Step-by-Step Solutions

Which of the following is the correct simplification of log_5(25) - log_5(5)?
  • Step 1: Identify the logarithm log_5(25). This means we are looking for the power to which 5 must be raised to get 25.
  • Step 2: Since 5^2 = 25, we find that log_5(25) = 2.
  • Step 3: Next, identify the logarithm log_5(5). This means we are looking for the power to which 5 must be raised to get 5.
  • Step 4: Since 5^1 = 5, we find that log_5(5) = 1.
  • Step 5: Now, we can substitute the values we found into the expression: log_5(25) - log_5(5) becomes 2 - 1.
  • Step 6: Finally, calculate 2 - 1, which equals 1.
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