Решите показательное уравнение. Created by Alex364. algebra-ru

Решите показательное уравнение...

ВладимирБ

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Решение смотри на фото

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sharadi

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2^x * 9^√x + 3 - 3*2^x - 9^√x = 0
(2^x * 9^√x -3*2^x) + ( 3 - 9^√x) = 0
2^x(9^√x - 3) -(9^√x -3) = 0
(9^√x -3)(2^x -1) = 0
9^√x - 3 = 0 или 2^x -1 = 0
3^2√x = 3 2^x = 1
2√x = 1 2^x = 2^0
4x = 1 x = 0
x = 1/4
Ответ: 1/4; 0

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