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If log_3(x) = 2, what is the value of x?

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Question: If log_3(x) = 2, what is the value of x?

Options:

  1. 6
  2. 9
  3. 12
  4. 27

Correct Answer: 9

Solution: 

log_3(x) = 2 implies x = 3^2 = 9.

If log_3(x) = 2, what is the value of x?

Practice Questions

Q1
If log_3(x) = 2, what is the value of x?
  1. 6
  2. 9
  3. 12
  4. 27

Questions & Step-by-Step Solutions

If log_3(x) = 2, what is the value of x?
Correct Answer: 9
  • Step 1: Understand that log_3(x) = 2 means that 3 raised to the power of 2 equals x.
  • Step 2: Write the equation in exponential form: x = 3^2.
  • Step 3: Calculate 3^2, which is 3 times 3.
  • Step 4: Find the result of 3 times 3, which is 9.
  • Step 5: Conclude that the value of x is 9.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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