Question

Função Exponencial (exercício 6). Por favor!!

Answer 1

$1)32^x=8^{y+1} \\ 2)9^y=27^{x-9} \\ \\ \\ 1)32^x=8^{y+1}\\(2^5)^x=(2^3)^{y+1} \\ 2^{5x}=2^{3y+3} \\ 5x=3y+3 \\ \\ \\ 2)9^y=27^{x-9} \\ (3^2)^y=(3^3)^{x-9} \\ 3^{2y}=3^{3x-27} \\2y=3x-27 \\ y= \frac{3x-27}{2} \\ \\ \\ 1)5x=3y+3 \\ 5x=3( \frac{3x-27}{2})+3 \\ 5x= \frac{9x-81}{2}+3 \\ 5x= \frac{9x-81}{2}+ \frac{6}{2} \\ 5x= \frac{9x-81+6}{2} \\ 10x=9x-81+6 \\ 10x-9x=-75 \\ x=-75 \\ \\ \\ 2)y= \frac{3x-27}{2}\\y= \frac{3(-75)-27}{2} \\ y= \frac{-225-27}{2} \\ y= \frac{-252}{2} \\ y=-126$




$x+y=-75+(-126) \\ x+y=-75-126 \\ x+y=-201$