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If log_10(x) = 2, what is the value of x?

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Question: If log_10(x) = 2, what is the value of x?

Options:

  1. 100
  2. 200
  3. 300
  4. 400

Correct Answer: 100

Solution: 

log_10(x) = 2 implies x = 10^2 = 100.

If log_10(x) = 2, what is the value of x?

Practice Questions

Q1
If log_10(x) = 2, what is the value of x?
  1. 100
  2. 200
  3. 300
  4. 400

Questions & Step-by-Step Solutions

If log_10(x) = 2, what is the value of x?
Correct Answer: 100
  • Step 1: Understand that log_10(x) means 'the power to which 10 must be raised to get x'.
  • Step 2: The equation log_10(x) = 2 means that 10 must be raised to the power of 2 to get x.
  • Step 3: Rewrite the equation in exponential form: x = 10^2.
  • Step 4: Calculate 10^2, which is 10 multiplied by itself (10 * 10).
  • Step 5: The result of 10 * 10 is 100, so x = 100.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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