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

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

Options:

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Correct Answer: 3

Solution: 

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

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

Practice Questions

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

If log10(1000) = x, what is the value of x?
  • Step 1: Understand that log10 means 'logarithm base 10'.
  • Step 2: Recognize that 1000 can be written as 10 raised to a power.
  • Step 3: Write 1000 as 10^3 because 10 multiplied by itself 3 times equals 1000.
  • Step 4: Use the property of logarithms that says log10(10^n) = n.
  • Step 5: Apply this property: log10(10^3) = 3.
  • Step 6: Conclude that x = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithms of powers.
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