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What is the value of log5(25)?

Practice Questions

Q1
What is the value of log5(25)?
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Questions & Step-by-Step Solutions

What is the value of log5(25)?
Correct Answer: 2
  • Step 1: Understand what log5(25) means. It asks, 'To what power do we raise 5 to get 25?'
  • Step 2: Recognize that 25 can be written as 5 raised to a power. Specifically, 25 is the same as 5^2.
  • Step 3: Rewrite the logarithm using this information: log5(25) becomes log5(5^2).
  • Step 4: Use the property of logarithms that says logb(b^x) = x. Here, b is 5 and x is 2.
  • Step 5: Apply this property: log5(5^2) equals 2.
  • Step 6: Conclude that log5(25) = 2.
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