Question

Rezolvati in multimea R ecuatia : ($\frac{4}{9}$ ) la puterea 4x-5 = ($\frac{27}{8}$ ) la puterea - 18

Answer 1

(4/9)^(4x-5) =(27/8)^(-18) [(2/3)^2]^(4x-5) =(8/27)^(18)
[(2/3)^(8x-10) =[(2/3)^3]^(18)
(2/3)^(8x-10) =[(2/3)^54
8x-10=54
8x=64
x=8