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If logx(100) = 2, what is the value of x?

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Question: If logx(100) = 2, what is the value of x?

Options:

  1. 10
  2. 20
  3. 30
  4. 40

Correct Answer: 10

Solution: 

x^2 = 100, so x = 10.

If logx(100) = 2, what is the value of x?

Practice Questions

Q1
If logx(100) = 2, what is the value of x?
  1. 10
  2. 20
  3. 30
  4. 40

Questions & Step-by-Step Solutions

If logx(100) = 2, what is the value of x?
Correct Answer: 10
  • Step 1: Understand the equation logx(100) = 2. This means that x raised to the power of 2 equals 100.
  • Step 2: Rewrite the equation in exponential form: x^2 = 100.
  • Step 3: To find x, take the square root of both sides of the equation: x = √100.
  • Step 4: Calculate the square root of 100, which is 10.
  • Step 5: Therefore, the value of x is 10.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to find the value of the base.
  • Exponential Form – Converting logarithmic expressions into their equivalent exponential form.
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