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toby
@toby
August 2022
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!!!!2 логарифмических неравенства!!
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tausinv
Verified answer
1. 2^log3(x-1\3x+3) <= 2^(-2)
log3(x-1\3x+3) <= -2
x-1\3x+3 <= 1\9
Осталось обычное неравенство и учесть ОДЗ логарифма.
2. 3^log2(x-1\x+1) < 3^(-2)
log2(x-1\x+1) < -2
x-1\x+1 < 1\4
Осталось обычное неравенство и учесть ОДЗ логарифма.
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Answers & Comments
Verified answer
1. 2^log3(x-1\3x+3) <= 2^(-2)log3(x-1\3x+3) <= -2
x-1\3x+3 <= 1\9
Осталось обычное неравенство и учесть ОДЗ логарифма.
2. 3^log2(x-1\x+1) < 3^(-2)
log2(x-1\x+1) < -2
x-1\x+1 < 1\4
Осталось обычное неравенство и учесть ОДЗ логарифма.