Question

22-resolva a equaçao exponencial:(3elevado(2x-3))elevado(x+4)=1 (calculo na resposta ) URGENTE

Answer 1

exponencial

$3^{(2x-3)(x+4)}=1 \\ \\ 3^{(2x-3)(x+4)}=3^0 \\ \\ (2x-3)(x+4)=0 \\ \\ 2x^2+8x-3x-12=0 \\ \\ 2x^2+5x-12=0$

a=2
b=5
c=-12

Δ=b²-4ac
Δ=5²-4(2)(-12)
Δ=25+96
Δ=121

x=(-b±√Δ)/2a =(-5±√121)/2.2 = (-5±11)4

x'=(-5+11)/4=6/4=3/2

x"=(-5-11)/4=-16/4=-4

S={-4 , 3/2}