(logпо осн.2 x)^2 - 4 logпо осн.2 x+3=0. Created by tonni. algebra-ru

(logпо осн.2 x)^2 - 4 logпо осн.2 x+3=0...

August 2022 1 16 Report

(logпо осн.2 x)^2 - 4 logпо осн.2 x+3=0

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Zhiraffe ОДЗ: x>0
Замена: t=log_2 (x)
t^2-4t+3=0
D=16-12=4
t1=(4-2)/2=1
t2=(4+2)/2=3
Обратная замена:
log_2 (x)=3 <=> x=8
log_2 (x)=1 <=> x=2
Ответ: 2; 8.

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