logx(3/2)=-1/2হলে, x এর মান__

log_x(3/2)=-1/2হলে, x এর মান___

A 4/9

B 9/4

C 3/2

D √2/3

Correct Answer: Option A

দেওয়া আছে,
log_x(2/3) = -1/2
⇒ (x)^-1/2= 2/3
⇒ 1/(x)^1/2= 2/3
⇒ 1/√x = 2/3
⇒ 2√x = 3
⇒ 4x = 9
∴x = 9/4