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If logx(16) = 4, what is the value of x?

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Question: If logx(16) = 4, what is the value of x?

Options:

  1. 2
  2. 4
  3. 8
  4. 16

Correct Answer: 4

Solution: 

x = 16^(1/4) = 2.

If logx(16) = 4, what is the value of x?

Practice Questions

Q1
If logx(16) = 4, what is the value of x?
  1. 2
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

If logx(16) = 4, what is the value of x?
Correct Answer: 2
  • Step 1: Start with the equation logx(16) = 4.
  • Step 2: Rewrite the logarithmic equation in exponential form. This means we can express it as x^4 = 16.
  • Step 3: To find x, we need to isolate it. We can do this by taking the fourth root of both sides of the equation.
  • Step 4: The fourth root of 16 can be calculated as 16^(1/4).
  • Step 5: Calculate 16^(1/4). Since 16 is 2^4, the fourth root of 16 is 2.
  • Step 6: Therefore, the value of x is 2.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to solve for the base.
  • Exponents – Applying exponent rules to find the value of x from the logarithmic equation.
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