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Which of the following expressions is equivalent to log_10(1000)?

Practice Questions

Q1
Which of the following expressions is equivalent to log_10(1000)?
  1. 3
  2. 10
  3. 100
  4. 1

Questions & Step-by-Step Solutions

Which of the following expressions is equivalent to log_10(1000)?
  • Step 1: Understand what log_10(1000) means. It asks, 'To what power do we raise 10 to get 1000?'
  • Step 2: Recognize that 1000 can be written as 10 raised to a power. Specifically, 1000 = 10^3.
  • Step 3: Substitute 10^3 into the logarithm: log_10(1000) = log_10(10^3).
  • Step 4: Use the property of logarithms that states log_b(b^x) = x. Here, b is 10 and x is 3.
  • Step 5: Therefore, log_10(10^3) = 3.
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