Question

Qual a resposta dessa inequação exponencial?

(1/3)× > (1/27) ×+1

Answer 1

$(\frac{1}{3})^x>(\frac{1}{27})^{x+1}\\ \\ (\frac{1}{3})^x>(\frac{1}{3})^{3x+3}\\ \\ x<3x+3\\ \\ 2x<3\\ \\ x<\frac{3}{2}$

Answer 2

(1/3)^x>(1/27)^(x+1)   
iguala a zero para achar o x
(1/3)^x=(1/27)^(x+1)
(1/3)^x=(1/3³)^(x+1)
(1/3)^x=(1/3)^(3(x+1))
x=3(x+1)
x=3x+1
x-3x=1
-2x=1
x=-1/2