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Solve for x: log_3(x) = 2.

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Question: Solve for x: log_3(x) = 2.

Options:

  1. 6
  2. 9
  3. 3
  4. 2

Correct Answer: 9

Solution: 

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

Solve for x: log_3(x) = 2.

Practice Questions

Q1
Solve for x: log_3(x) = 2.
  1. 6
  2. 9
  3. 3
  4. 2

Questions & Step-by-Step Solutions

Solve for x: log_3(x) = 2.
  • Step 1: Understand the equation log_3(x) = 2. This means that 3 raised to what power gives us x?
  • Step 2: Rewrite the equation in exponential form. Since log_3(x) = 2, we can say that x = 3 raised to the power of 2.
  • Step 3: Calculate 3 raised to the power of 2. This means 3 * 3.
  • Step 4: Perform the multiplication. 3 * 3 = 9.
  • Step 5: Conclude that x = 9.
  • Logarithmic Equations – Understanding how to solve equations involving logarithms, specifically converting logarithmic form to exponential form.
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