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What is the base of the logarithm if log_10(100) = 2?

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Question: What is the base of the logarithm if log_10(100) = 2?

Options:

  1. 2
  2. 10
  3. 100
  4. 1

Correct Answer: 10

Solution: 

The base of the logarithm is 10, as log_10(100) = 2 means 10^2 = 100.

What is the base of the logarithm if log_10(100) = 2?

Practice Questions

Q1
What is the base of the logarithm if log_10(100) = 2?
  1. 2
  2. 10
  3. 100
  4. 1

Questions & Step-by-Step Solutions

What is the base of the logarithm if log_10(100) = 2?
  • Step 1: Understand what log_10(100) means. It means 'to what power do we raise 10 to get 100?'
  • Step 2: The equation log_10(100) = 2 tells us that 10 raised to the power of 2 equals 100.
  • Step 3: Write the equation in exponential form: 10^2 = 100.
  • Step 4: Since we see that 10 raised to the power of 2 equals 100, we confirm that the base of the logarithm is 10.
  • Logarithmic Functions – Understanding the relationship between logarithms and exponents, specifically how to interpret log_b(a) = c as b^c = a.
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