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What is the value of log_10(1000) + log_10(0.01)?

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Question: What is the value of log_10(1000) + log_10(0.01)?

Options:

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

Correct Answer: -1

Solution: 

log_10(1000) = 3 and log_10(0.01) = -2, thus 3 - 2 = 1.

What is the value of log_10(1000) + log_10(0.01)?

Practice Questions

Q1
What is the value of log_10(1000) + log_10(0.01)?
  1. 1
  2. 0
  3. -1
  4. 2

Questions & Step-by-Step Solutions

What is the value of log_10(1000) + log_10(0.01)?
Correct Answer: 1
  • Step 1: Understand that log_10(x) means 'to what power must 10 be raised to get x'.
  • Step 2: Calculate log_10(1000). Since 10^3 = 1000, we find that log_10(1000) = 3.
  • Step 3: Calculate log_10(0.01). Since 10^-2 = 0.01, we find that log_10(0.01) = -2.
  • Step 4: Add the two results together: 3 (from log_10(1000)) + (-2) (from log_10(0.01)).
  • Step 5: Simplify the addition: 3 - 2 = 1.
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