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GunnerSaurus
@GunnerSaurus
June 2022
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Решить логарифмич. Уравнение
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армения20171
3^x-8>0;3^x>8;x>log3(8);ОДЗ
3^x-8=3^(2-x)
3^x-8=9*3^(-x)
3^x=t>0
t-8-9/t=0
t^2-8t-9=0
D=64+36=100=10^2
t1=(8+10)/2=9
t2=-1
3^x=9;3^x=3^2;x=2
3^x=-1;нет решения
2>log3(8)
ответ 2
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Answers & Comments
3^x-8=3^(2-x)
3^x-8=9*3^(-x)
3^x=t>0
t-8-9/t=0
t^2-8t-9=0
D=64+36=100=10^2
t1=(8+10)/2=9
t2=-1
3^x=9;3^x=3^2;x=2
3^x=-1;нет решения
2>log3(8)
ответ 2