Question

If \(\log_{3} x^2 = 2\), then x =

• A. 2
• B. -2
• C. 3
• D. -3

Answer 1

The Correct Option is C

Correct answer: ±3
 
Explanation:
Given: \(\log_{3} x^2 = 2\)

Using logarithmic identity: \(\log_b a = c \Rightarrow a = b^c\)

So, \(x^2 = 3^2 = 9\)

Taking square root on both sides: \(x = \pm 3\)

So, x = ±3. Since ±3 is not listed directly, among the options, only 3 and -3 are valid.