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2^(x-2) = 1 = 2⁰
x-2 = 0; x = 2
********************
(5/6)^(13√x +5) = (6/5)^(7√x -45)
(5/6)^(13√x +5) = (5/6)^(45 -7√x)
13√x + 5 = 45 - 7√x
√x = 2; x = 4
********************
3^(x+2) - 3^x = 72
3^2*3^x - 3^x = 72
3^x(9 -1) = 72
3^x = 9 = 3^2
x = 2
********************
3^(12x-1) - 9^(6x-1) -27^(4x-1) +81^(3x+1) = 2192
3^(12x-1)- 3^(12x-2)- 3^(12x-3)+ 3^(12x+4) = 2192
3^12x = y
y/3 - y/9 - y/27 + 81y = 2192
y(9 - 3 - 1 + 81*27) = 2192*27
y = 27
3^12x = 27 = 3^3
x = 1/4
********************
2*2^2x - 3*2^x - 2 = 0
2^x = y > 0
2y² - 3y - 2 = 0
y = 2; x = 1
********************
2^3x - 6*2^2x + 8*2^x = 0
2^x = y > 0
y² -6y + 8 = 0
y = 4; y = 2
x = 2; x = 1
********************
5^2x - 7^x - 35*5^2x + 35*7^x = 0
(5^2x - 7^x) - 35(5^2x - 7^x) = 0
(5^2x - 7^x)(1 - 35) = 0
25^x = 7^x
x = 0

Повторите сойства степеней Сложение, вычитание степеней, возведение в степень

1.
x = 2