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If logx(27) = 3, what is the value of x?

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Question: If logx(27) = 3, what is the value of x?

Options:

  1. 3
  2. 9
  3. 27
  4. 81

Correct Answer: 27

Solution: 

x = 27^(1/3) = 3.

If logx(27) = 3, what is the value of x?

Practice Questions

Q1
If logx(27) = 3, what is the value of x?
  1. 3
  2. 9
  3. 27
  4. 81

Questions & Step-by-Step Solutions

If logx(27) = 3, what is the value of x?
Correct Answer: 3
  • Step 1: Start with the equation logx(27) = 3.
  • Step 2: Rewrite the logarithmic equation in exponential form. This means we can express it as x^3 = 27.
  • Step 3: To find x, we need to isolate it. We can do this by taking the cube root of both sides of the equation.
  • Step 4: The cube root of 27 is 3, so we have x = 3.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to solve for the base.
  • Exponents and Roots – Applying the properties of exponents and roots to find the value of x.
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