logax = 1, logay = 2, logaz = 4 হলে loga{(x3y2)/z} এর মান কত?

log_ax = 1, log_ay = 2, log_az = 4 হলে loga{(x³y²)/z} এর মান কত?

A 4

B 2

C 5

D 3

Correct Answer: Option D

log_ax = 1,log_ay = 2, log_az = 4
⇒ x = a¹
∴ y = a²
∴ z = a⁴
∴ log_a{(x³.y²)/z} = loga {(a³.a⁴⁾/a⁴)
= log_aa3
= 3log_aa
= 3.1 = 3