Question

If $\log_a b = 2$, then $b = ?$

• A. $a^2$
• B. $2a$
• C. $a/2$
• D. $\sqrt{a}$

Hint:

Just remember: The base of the log stays the base of the power. The number on the other side of the "=" is always the exponent.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
The definition of a logarithm is the inverse of exponentiation. If $\log_{\text{base}} (\text{result}) = \text{exponent}$, then $\text{base}^{\text{exponent}} = \text{result}$.
Step 2: Detailed Explanation:
Given: $\log_a b = 2$ The base is $a$. The exponent is $2$. The result (argument) is $b$. Converting to exponential form: $a^2 = b$.
Step 3: Final Answer:
The correct option is (a).