Question

Find z where 3^6 x 8^z = 36^3
(Indices Qn)​

Answer 1

Answer

3^6 x 8^z = 36^3

3^6 x 2^3z = 9^3 x 4^3

3^6 x 2^3z = 3^6 x 2^6

divide by 3^6 on both sides

so,

2^3Z = 2^6

since bases are equal equating the powers

3z = 6

 z = 2