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

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

Options:

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Correct Answer: 3

Solution:

log10(1000) = 3, since 10^3 = 1000.

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

Practice Questions

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

If log10(1000) = y, what is the value of y?
  • Step 1: Understand what log10 means. It is asking what power you need to raise 10 to in order to get a certain number.
  • Step 2: Identify the number we are taking the logarithm of, which is 1000 in this case.
  • 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 10^3 = 1000.
  • Step 5: Therefore, log10(1000) = 3, which means y = 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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