Question

find the value of z if.:. (6/5)^z ×(5/6)^2z=125/216

Answer 1

(6/5)^z ×(5/6)^2z
(5/6)^-z×(5/6)^2z
(5/6)^(-z+2z)=(5/6)^z
Now
(5/6)^z=125/216
(5/6)^z=(5/6)^3
Bases are equal. Hence, z=3