Решите уравнение: 3*4х+2*9х–5*6х=0

Question

Решите уравнение: 3*4х+2*9х–5*6х=0

Answer 1

3*(2/3)^2x-5(2/3)x+2=0
(2/3)^x=a
3a²-5a+2=0
D=25-24=1
a1=(5-1)/6=2/3⇒(2/3)^x=2/3⇒x=1
a2=(5+1)/6=1⇒(2/3)^x=1⇒x=0