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Консультация № 161287
24.02.2009, 15:20
0.00 руб.
0
2
1
Помогите пожалуйста!!!
log3(2x-2)<2
log3(x+1)>log3 4
log2x>(=)4
log3(2x-2)<2
log3(x+1)>log3 4
log2x>(=)4
Обсуждение
24.02.2009, 15:47
общий
это ответ
Здравствуйте, Zwitter!
1) log3(2x-2) < 2 = log39 , а т.к 3>1, то отсюда 2x-2 < 9 или x < 5.5
С учетом области допустимых значений (2x-2)>0 или x > 1, имеем 1 < x < 5.5
2) log3(x+1)>log34, аналогично, имеем x + 1 > 4 или x > 3
Т.к. условие x+1 > 0 (или x > -1) не влияет на результат, то ответом будет x > 3
3) log2x [$8805$] 4 = log216, отсюда x [$8805$] 16
Т.к. условие x > 0 также не влияет на результат, то ответом будет x [$8805$] 16
1) log3(2x-2) < 2 = log39 , а т.к 3>1, то отсюда 2x-2 < 9 или x < 5.5
С учетом области допустимых значений (2x-2)>0 или x > 1, имеем 1 < x < 5.5
2) log3(x+1)>log34, аналогично, имеем x + 1 > 4 или x > 3
Т.к. условие x+1 > 0 (или x > -1) не влияет на результат, то ответом будет x > 3
3) log2x [$8805$] 4 = log216, отсюда x [$8805$] 16
Т.к. условие x > 0 также не влияет на результат, то ответом будет x [$8805$] 16
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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