logₐ ∛3 = 1/15 হলে a এর মান কত?

logₐ ∛3 = 1/15 হলে a এর মান কত?

A 9

B 27

C 81

D 243

Solution

Correct Answer: Option D

log⌄y ∛3 = 1/15

=> y^1/15 = ∛3

=> y^1/15 = 3^1/3

=> y^1/15 = 3^5/3×5

=> y^1/15 = (3^5)^1/15

=> y = 3^5

y = 243