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

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

Options:

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Correct Answer: 3

Solution: 

log10(1000) = 3, so b = 3.

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

Practice Questions

Q1
If log10(1000) = b, what is the value of b?
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Questions & Step-by-Step Solutions

If log10(1000) = b, what is the value of b?
  • Step 1: Understand what log10 means. It is asking for the power to which 10 must be raised 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 1000 = 10^3.
  • Step 4: Since log10(1000) asks for the power of 10 that gives us 1000, we can see that 10 must be raised to the power of 3.
  • Step 5: Therefore, log10(1000) = 3.
  • Step 6: Since we defined b as log10(1000), we can conclude that b = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithms with base 10.
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