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Solve for x: log_5(x) = 2.

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Question: Solve for x: log_5(x) = 2.

Options:

  1. 5
  2. 10
  3. 25
  4. 50

Correct Answer: 25

Solution: 

log_5(x) = 2 implies x = 5^2 = 25.

Solve for x: log_5(x) = 2.

Practice Questions

Q1
Solve for x: log_5(x) = 2.
  1. 5
  2. 10
  3. 25
  4. 50

Questions & Step-by-Step Solutions

Solve for x: log_5(x) = 2.
Correct Answer: 25
  • Step 1: Understand the equation log_5(x) = 2. This means that 5 raised to what power equals x?
  • Step 2: Rewrite the equation in exponential form. Since log_5(x) = 2, we can say that 5^2 = x.
  • Step 3: Calculate 5^2. This means 5 multiplied by itself, which is 25.
  • Step 4: Conclude that x = 25.
  • Logarithmic Equations – Understanding how to solve equations involving logarithms, specifically converting logarithmic form to exponential form.
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