logx(1/8) = -2 হলে x = কত?

log_x(1/8) = -2 হলে x = কত?

A 2

B √2

C 2√2

D 4

Correct Answer: Option C

log_x(1/8) = -2
⇒ x^-2 = 1/8
⇒ 1/x² = 1/8
⇒ x² = 8
⇒ x = √8
⇒x = √(4×2)
∴ x = 2√2