Question

Solve the equation
(2/3)^p=81/16

Answer 1

ln(81/16)*3/2

Answer 2

I only get 2.43xxxxxxx

Answer 3

(2/3)^p = 81/16


(2/3)^p = (3^4)/(2^4)


(2/3)^p = (3/2)^4


(2/3)^p = (2/3)^(-4)


Since the bases are equal, the exponents are equal. So this means


p = -4

Answer 4

(2/3)^4 = 16/81
1 / (2/3)^4 = (2/3)^(-4) = 1/16/81 = 81/16
therefore p = -4