Răspuns :
3⁴ˣ-2⁴ˣ=5/6 2²ˣ 3²ˣˣ se imparte la 2²ˣ 3²ˣ
(3/2)²ˣ-(2/3)²ˣ=5/6
(3/2)²ˣ=y
y-1/y=5/6
6y²-5y-6=0
Δ=25+144=169
√Δ=√169=13
y₁=9/4
y₂=-2/3 nu este solutie
(3/2)²ˣ=y₁
(3/2)²ˣ=(3/2)²
2x=2
x=1
(3/2)²ˣ-(2/3)²ˣ=5/6
(3/2)²ˣ=y
y-1/y=5/6
6y²-5y-6=0
Δ=25+144=169
√Δ=√169=13
y₁=9/4
y₂=-2/3 nu este solutie
(3/2)²ˣ=y₁
(3/2)²ˣ=(3/2)²
2x=2
x=1