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If log10(1000) = a, what is the value of a?

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Question: If log10(1000) = a, what is the value of a?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 3

Solution: 

log10(1000) = 3 because 10^3 = 1000.

If log10(1000) = a, what is the value of a?

Practice Questions

Q1
If log10(1000) = a, what is the value of a?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If log10(1000) = a, what is the value of a?
  • Step 1: Understand what log10 means. It is asking, 'To what power do we raise 10 to get a certain number?'
  • Step 2: Identify the number we are taking the logarithm of, which is 1000.
  • Step 3: Rewrite 1000 as a power of 10. We know that 10 raised to the power of 3 equals 1000 (10^3 = 1000).
  • Step 4: Since log10(1000) asks for the power of 10 that gives us 1000, we can see that this power is 3.
  • Step 5: Therefore, we conclude that log10(1000) = 3, which means a = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to interpret log base 10.
  • Base 10 Exponents – Recognizing that log10(1000) asks for the exponent to which 10 must be raised to yield 1000.
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