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DashkaPypsik
@DashkaPypsik
August 2022
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log1/3(x+23)<=-2
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dimochka3777
Log1/3(x+23)<=-2
Log1/3(x+23)<=-2*Log1/3(1/3)
Log1/3(x+23)<=Log1/3(1/3^(-2))
ОДЗ
x+23>0
x>-23
Решение
Т.к. 1/3 < 1 меняем знак неравенства
x+23>=1/3^(-2)
x+23>=3^2
x+23>=9
x >= -14
x[-14;+беск)
1 votes
Thanks 1
dimochka3777
вместо 1/3 поставляешь 1/5 в правой и левой части и разница будет что не 3 в квадрат возводить будешь, а 5
dimochka3777
Log1/5(x+23)<=-2*Log1/5(1/5)
dimochka3777
Log1/5(x+23)<=Log1/5(1/5^(-2))
dimochka3777
x+23>=1/5^(-2)
dimochka3777
x+23>=5^2
dimochka3777
x+23>=25
dimochka3777
x>=2
dimochka3777
x[2;+беск)
DashkaPypsik
окей,спс
dimochka3777
Не за что, пупсик
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Answers & Comments
Log1/3(x+23)<=-2*Log1/3(1/3)
Log1/3(x+23)<=Log1/3(1/3^(-2))
ОДЗ
x+23>0
x>-23
Решение
Т.к. 1/3 < 1 меняем знак неравенства
x+23>=1/3^(-2)
x+23>=3^2
x+23>=9
x >= -14
x[-14;+беск)