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If logx(49) = 2, what is the value of x?

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Question: If logx(49) = 2, what is the value of x?

Options:

  1. 5
  2. 7
  3. 14
  4. 49

Correct Answer: 7

Solution: 

x^2 = 49, so x = 7.

If logx(49) = 2, what is the value of x?

Practice Questions

Q1
If logx(49) = 2, what is the value of x?
  1. 5
  2. 7
  3. 14
  4. 49

Questions & Step-by-Step Solutions

If logx(49) = 2, what is the value of x?
Correct Answer: 7
  • Step 1: Understand the equation logx(49) = 2. This means that x raised to the power of 2 equals 49.
  • Step 2: Rewrite the equation in exponential form: x^2 = 49.
  • Step 3: To find x, take the square root of both sides of the equation: x = √49.
  • Step 4: Calculate the square root of 49, which is 7.
  • Step 5: Therefore, the value of x is 7.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to find the value of the base.
  • Exponential Form – Converting logarithmic statements into exponential form to solve for the variable.
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