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Which of the following is the correct simplification of log_10(1000) + log_10(0.

Practice Questions

Q1
Which of the following is the correct simplification of log_10(1000) + log_10(0.01)?
  1. 1
  2. 0
  3. -1
  4. 3

Questions & Step-by-Step Solutions

Which of the following is the correct simplification of log_10(1000) + log_10(0.01)?
  • Step 1: Identify the logarithm base, which is 10 in this case.
  • Step 2: Calculate log_10(1000). Since 1000 is 10 raised to the power of 3 (10^3), log_10(1000) = 3.
  • Step 3: Calculate log_10(0.01). Since 0.01 is 10 raised to the power of -2 (10^-2), log_10(0.01) = -2.
  • Step 4: Add the results from Step 2 and Step 3. So, 3 + (-2) = 1.
  • Step 5: The final answer is 1.
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