Предмет: Математика, автор: azaza98

Помогите пожалуйста решить уравнение: 3 log2 (x-1/2)<6

Ответы

Автор ответа: kirichekov
2
3*log₂(x-1/2)<6
log₂(x-1/2)<2, 2=log₂2²=log₂4
log₂(x-1/2)<log₂4, 2>1, знак неравенства не меняем
{x-1/2>0        x>0,5
x-1/2<4        x<4,5
ответ: х∈(0,5; 4,5)
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