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Dimon30555
@Dimon30555
June 2022
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срочно 4 помогите подалуйста
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sedinalana
Прологарифмируем по основанию 2 и воспользуемся свойством log(a)b^n=nlog(a)b
log(2)(x/4)*(log(2)x-1)<log(2)4
(log(2)x -2)(log(2)x-1)<2
log(2)x=t
(t-2)(t-1)<2
t²-t-2t+1<2
t(x-3)<0
0<t<3
0<log(2)x<3
1<x<8
x∈(1;8)
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Answers & Comments
log(2)(x/4)*(log(2)x-1)<log(2)4
(log(2)x -2)(log(2)x-1)<2
log(2)x=t
(t-2)(t-1)<2
t²-t-2t+1<2
t(x-3)<0
0<t<3
0<log(2)x<3
1<x<8
x∈(1;8)