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What is the value of log10(0.01)?

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Question: What is the value of log10(0.01)?

Options:

  1. -1
  2. -2
  3. 0
  4. 1

Correct Answer: -2

Solution: 

log10(0.01) = log10(10^-2) = -2.

What is the value of log10(0.01)?

Practice Questions

Q1
What is the value of log10(0.01)?
  1. -1
  2. -2
  3. 0
  4. 1

Questions & Step-by-Step Solutions

What is the value of log10(0.01)?
Correct Answer: -2
  • Step 1: Understand that log10 means we are looking for the power to which 10 must be raised to get a certain number.
  • Step 2: Rewrite 0.01 in terms of powers of 10. We know that 0.01 is the same as 10 raised to the power of -2 (because 10^-2 = 1/10^2 = 1/100 = 0.01).
  • Step 3: Now we can rewrite the logarithm: log10(0.01) becomes log10(10^-2).
  • Step 4: Use the property of logarithms that says log10(10^x) = x. Here, x is -2.
  • Step 5: Therefore, log10(10^-2) = -2.
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