СРОЧНО НУЖНА ВАША ПОМОЩЬ!!! Решите уравнение: [tex]6^{x-2} - (\frac{1}{6} )^{3-x} + 36^{\frac{x-1}{2}} = 246[/tex]. Created by IngridLeroux. matematika-ru

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IngridLeroux @IngridLeroux

July 2022 1 20 Report

СРОЧНО НУЖНА ВАША ПОМОЩЬ!!!
Решите уравнение:
[tex]6^{x-2} - (\frac{1}{6} )^{3-x} + 36^{\frac{x-1}{2}} = 246[/tex]

Answers & Comments

drakerton

Ответ:

x = 4

Пошаговое объяснение:

$6^{x-2} - (\frac{1}{6})^{3-x} + 36^{\frac{x-1}{2}} = 246\\\\6^{x-2} - 6^{x-3} + 6^{x-1} = 246\\\\\frac{6^x}{6^2} - \frac{6^x}{6^3} + \frac{6^x}{6} = 246\\\\\frac{6^x}{36} - \frac{6^x}{216} + \frac{6^x}{6} = 246\\\\6^x = t\\\\\frac{t}{36} - \frac{t}{216} + \frac{t}{6} = 246\\\\6t - t + 36t = 53136\\\\41t = 53136\\\\t = 1296\\\\6^x = 1296\\\\6^x = 6^4\\\\x = 4$

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