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What is the value of log_10(1000)?

Practice Questions

Q1
What is the value of log_10(1000)?
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Questions & Step-by-Step Solutions

What is the value of log_10(1000)?
Correct Answer: 3
  • Step 1: Understand that log_10(1000) means we want to find out what power we need to raise 10 to in order to get 1000.
  • Step 2: Recognize that 1000 can be written as 10 raised to the power of 3, which is 10^3.
  • Step 3: Rewrite the logarithm using this power: log_10(1000) = log_10(10^3).
  • Step 4: Use the property of logarithms that says 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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