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alinagunba99
@alinagunba99
July 2022
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Решите уравнение :
log3(x+1) + log3(x+3) = 1
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dracula2016
Т,к основания одинаковые,то воспользуемся свойством:(x+1)*(x+3)=1
теперь логарифмируем 1=log 3 по основанию 3
(x+1)*(x+3)=3
x^2+3x+x+3=3
x^2+4x+3=3
x^2+4x+3-3=0
x^2+4x=0
x(x+4)=0
x=-4 не подходит по ОДЗ
x=0
Ответ:x=0
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Answers & Comments
теперь логарифмируем 1=log 3 по основанию 3
(x+1)*(x+3)=3
x^2+3x+x+3=3
x^2+4x+3=3
x^2+4x+3-3=0
x^2+4x=0
x(x+4)=0
x=-4 не подходит по ОДЗ
x=0
Ответ:x=0