Question

Jika ( 1/4 ) pangakat x+2 = 3 akar 8 pangakat 2x-1 , maka nilai 81 pangkat x adalah...?

Answer 1

(1/4)^(x + 2) = ^3√8^(2x - 1)
=> 2^-2(x + 2) = 2^3(2x - 1)/3
=> 2^(-2x - 4) = 2^(2x - 1)
=> -2x - 4 = 2x - 1
=> -4x = 3
=> x = -3/4
81^x = (3^4)^(-3/4) = 3^(-3) = 1/3^3 = 1/27