Решите подробно! 20 баллов.. Created by Kasper93. matematika-ru

Решите подробно! 20 баллов...

Kasper93 @Kasper93

June 2022 1 14 Report

Решите подробно! 20 баллов.

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eugeke

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Прологарифмируем по основанию 5
0,5log(5)x*log(5)x=1-0,5log(5)x
0,5log²(5)x+0,5log(5)x-1=0
log²(5)x+log(5)x-2=0
log(5)x=a
a²+a-2=0
a1+a2=-1 U a1*a2=-2
a1=-2⇒log(5)x=-2⇒x=1/25
a2=1⇒⇒log(5)x=1⇒x=5

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