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If 3^(x) = 81, what is the value of x?

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Question: If 3^(x) = 81, what is the value of x?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 4

Solution: 

81 = 3^(4), so x = 4.

If 3^(x) = 81, what is the value of x?

Practice Questions

Q1
If 3^(x) = 81, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If 3^(x) = 81, what is the value of x?
Correct Answer: 4
  • Step 1: Understand the equation 3^(x) = 81.
  • Step 2: Recognize that 81 can be expressed as a power of 3.
  • Step 3: Find the power of 3 that equals 81. We know that 3^(4) = 81.
  • Step 4: Since 3^(x) = 3^(4), we can set the exponents equal to each other.
  • Step 5: Therefore, x = 4.
  • Exponential Equations – Understanding how to manipulate and solve equations involving exponents.
  • Base Conversion – Recognizing that 81 can be expressed as a power of 3.
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