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If log10(10x) = 2, what is the value of x?

Practice Questions

Q1
If log10(10x) = 2, what is the value of x?
  1. 10
  2. 100
  3. 1000
  4. 10000

Questions & Step-by-Step Solutions

If log10(10x) = 2, what is the value of x?
Correct Answer: 10
  • Step 1: Start with the equation log10(10x) = 2.
  • Step 2: Understand that log10 means 'the power to which 10 must be raised to get a number'.
  • Step 3: Rewrite the equation in exponential form: 10x = 10^2.
  • Step 4: Calculate 10^2, which equals 100. So now we have 10x = 100.
  • Step 5: To find x, divide both sides of the equation by 10: x = 100 / 10.
  • Step 6: Calculate 100 / 10, which equals 10. Therefore, x = 10.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to solve for variables.
  • Exponential Functions – Recognizing the relationship between logarithms and exponents.
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