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If log_5(x) = 2, what is the value of x?

Practice Questions

Q1
If log_5(x) = 2, what is the value of x?
  1. 5
  2. 10
  3. 25
  4. 50

Questions & Step-by-Step Solutions

If log_5(x) = 2, what is the value of x?
Correct Answer: 25
  • Step 1: Understand that log_5(x) = 2 means that 5 raised to the power of 2 equals x.
  • Step 2: Rewrite the equation in exponential form: x = 5^2.
  • Step 3: Calculate 5^2, which is 5 multiplied by itself (5 * 5).
  • Step 4: Find the result of 5 * 5, which equals 25.
  • Step 5: Conclude that the value of x is 25.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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