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What is the value of log_10(0.1)? (2023)

Practice Questions

Q1
What is the value of log_10(0.1)? (2023)
  1. -1
  2. 1
  3. 0
  4. -2

Questions & Step-by-Step Solutions

What is the value of log_10(0.1)? (2023)
  • Step 1: Understand what log_10(0.1) means. It asks for the power to which 10 must be raised to get 0.1.
  • Step 2: Rewrite 0.1 as a power of 10. We know that 0.1 is the same as 1/10, which can be written as 10^-1.
  • Step 3: Substitute 10^-1 into the logarithm. So, log_10(0.1) becomes log_10(10^-1).
  • Step 4: Use the property of logarithms that states log_b(b^x) = x. Here, b is 10 and x is -1.
  • Step 5: Therefore, log_10(10^-1) equals -1.
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