Решение на фото. Если будут вопросы, пишите
1)4^-9*4^5=4^-9+5=4^-4
2)4^-4:4^-7=4^-4+7=4^3=48
X^3+5x^2-x^3-10x^2-25x=0
-5x^2-25x=0
x (x+5)=0
x=0;x=-5
X^(log(3) x - 2) = 27, ОДЗ: x > 0
x^(log(3) x - 2) = x^(log(x) 27
x^(log(3) x - 2) = x^(3log(x) 3
x^(log(3) x - 2) = (3log(3) 3) / x^ (log(3) x)
log^2(3) x - 2*log(3) x - 3 = 0
1) log(3) x = -1
x = 3^(-1)
x1 = - 1/3 не удовлетворяет ОДЗ: x > 0
2) log(3) x = 3
x = 3^3
x2 = 27
Sin17π/6 = Sin((3π- π/6) = -Sinπ/6 = -1/2
Cos240° = Cos(270° - 30°) = - Sin30° = -1/2
сам пример: -1/2 =1/2 = -1