Вопрос школьника по предмету Алгебра
ПОМОГИТЕ, ПРОШУ!! Простейшее уравнение! log(0,25)(5*log(3)x-6)=-1
Ответ учителя по предмету Алгебра
Log(0.25)(5*log(3)x-6)=-1
Log(0.25)(5*log(3)x-6)=log(0.25)(0.25^(-1))
Log(0.25)(5*log(3)x-6)=log(0.25)(100/25)
Log(0.25)(5*log(3)x-6)=log(0.25)(4)
5*log(3)x-6=4
Переносим 6 в правую часть
5*log(3)x=4+6
5*log(3)x=10
Делим обе части уравнения на 5
Log(3)x=2
Log(3)x=log(3) (3^2)
Log(3)x=log(3)(9)
X=9
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