[tex]log_{5}8*log_{16}125 [/tex] Вычислите. Created by Ладушки123. algebra-ru

tex] Вычислите...

Ладушки123 @Ладушки123

October 2021 1 12 Report

[tex]log_{5}8*log_{16}125
[/tex]
Вычислите

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kirichekov

Verified answer

Log₅8*log₁₆126=2,25

1. log₅8=log₅2³=3*log₅2

2.log₁₆125=log₅16/log₅125=log₅5³/log₅2⁴=(3*log₅5)/(4*log₅2)=3/(4*log₅2)
3. 3*log₅2*3/(4log₅2)=9/4=2,25

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