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81 la puterea x - 16 la puterea x = 5/6 * 36 la puterea x
plsss...dau coroana


Răspuns :

81-16=65x la puterea a 2.
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