Уравнение 10 класс [tex]25^x-4*5^x=0[/tex]. Created by Slivki3. matematika-ru

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Slivki3 @Slivki3

July 2022 2 23 Report

Уравнение 10 класс
[tex]25^x-4*5^x=0[/tex]

NNNLLL54

Verified answer

Ответ:

$25^{x}-4\cdot 5^{x}=0\\\\(5^{x})^2-4\cdot 5^{x}=0\\\\5^{x}\cdot (5^{x}-4)=0\\\\a)\ \ 5^{x}>0\\\\b)\ \ 5^{x}=4\ \ ,\ \ x=log_54\ \ ,\ \ \ x=2\, log_52\\\\Otvet:\ \ x=2\, log_52\ .$

2 votes Thanks 1

666hello

${25}^{x} - 4 \times {5}^{x} = 0 \\ \\ \\ {5}^{x} \times ( {5}^{x} - 4) = 0 \\ \\ \\ {5}^{x} = 0 \\ {5}^{x} - 4 = 0 \\ \\ \\ {5}^{x} - 4 = 0 \\ \\ {5}^{x} = 4 \\ \\ x = 2 log_{5}(2) .$

1 votes Thanks 1

Answers & Comments

Verified answer

${25}^{x} - 4 \times {5}^{x} = 0 \\ \\ \\ {5}^{x} \times ( {5}^{x} - 4) = 0 \\ \\ \\ {5}^{x} = 0 \\ {5}^{x} - 4 = 0 \\ \\ \\ {5}^{x} - 4 = 0 \\ \\ {5}^{x} = 4 \\ \\ x = 2 log_{5}(2) .$

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