Question

Resolva a equação exponencial
(0,4^-4x+1)^x = Raiz de 5/2

Answer 1

0,4^(4x+1) = ∛5/2 

(0,4^(4x+1))³ = (∛5/2)³ 

0,4^[3.(4x+1)] = 5/2 

0,4 ^(12x+3) = 5/2 

(4/10)^(12x+3) = 5/2 

(2/5)^(12x+3) = (2/5)⁻¹........elimina a base (2/5) 

12x+3 = -1 
12x= -4 
x= -4/12 = -1/3 >>