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If log10(100) = x, what is the value of x?

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Question: If log10(100) = x, what is the value of x?

Options:

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Correct Answer: 2

Solution: 

log10(100) = log10(10^2) = 2.

If log10(100) = x, what is the value of x?

Practice Questions

Q1
If log10(100) = x, what is the value of x?
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Questions & Step-by-Step Solutions

If log10(100) = x, what is the value of x?
  • Step 1: Understand that log10 means 'logarithm base 10'.
  • Step 2: Recognize that 100 can be written as 10 raised to a power. Specifically, 100 = 10^2.
  • Step 3: Substitute 100 in the logarithm: log10(100) becomes log10(10^2).
  • Step 4: Use the property of logarithms that says log10(10^a) = a. Here, a is 2.
  • Step 5: Therefore, log10(10^2) = 2.
  • Step 6: Conclude that x = 2.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithms of powers.
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