Решите, пожалуйста, уравнение) 2^3-4x=0,16 x 5^3-4x. Created by Alinka1234567890. algebra-ru

Решите, пожалуйста, уравнение) 2^3-4x=0,16 x 5^3-4x...

Alinka1234567890 @Alinka1234567890

July 2022 1 11 Report

Решите, пожалуйста, уравнение)
2^3-4x=0,16 x 5^3-4x

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fiofionina

Verified answer

Решение:
2^(3-4x)=0,16^(3-4x)
2^3*2^-4x=0,16^3*0,16^-4x
2^-4x/0,16^-4x=0,16^3/2^3
0,16^4x/2^4x=0,16^3/2^3
(0,16/2)^4x=(0,16/2)^3
4x=3
x=3/4

Ответ: х=3/4=0,75

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