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If log_a(16) = 2, what is the value of a?

Practice Questions

Q1
If log_a(16) = 2, what is the value of a?
  1. 2
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

If log_a(16) = 2, what is the value of a?
  • Step 1: Start with the equation log_a(16) = 2.
  • Step 2: Understand that log_a(16) = 2 means that a raised to the power of 2 equals 16.
  • Step 3: Rewrite the equation as a^2 = 16.
  • Step 4: To find a, take the square root of both sides of the equation: a = √16.
  • Step 5: Calculate the square root of 16, which is 4.
  • Step 6: Therefore, the value of a is 4.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to find the base.
  • Exponential Form – Converting logarithmic expressions into exponential form to solve for the variable.
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