2) cosx = -√2/2
x = +-3π/4 + 2πk, k∈Z
x∈(0;2π)
x = 3π/4; x=5π/4
второй вариант ответа
3) cos(4x)*cos(5x) = cos(6x)*cos(7x)
0.5*(cos(4x-5x) + cos(4x+5x)) = 0.5*(cos(6x-7x) + cos(6x+7x))
cos(x) + cos(9x) = cos(x) + cos(13x)
cos(13x) - cos(9x) = 0
-2sin(11x)*sin(2x) = 0
sin(11x) = 0, 11x = πk, x = πk/11, k∈Z
sin(2x) = 0, 2x = πk, x = πk/2, k∈Z
x∈[0;π/2]
0≤πk/11≤π/2
0≤k≤11/2, k∈Z
k=0, 1, 2, 3, 4, 5
x=0, x=π/11, x=2π/11, x=3π/11, x=4π/11, x=5π/11
0≤πk/2≤π/2
0≤k≤1, k∈Z
k=0, 1
x=0, x=π/2
Сумма корней: 0 + (π/11) + (2π/11) + (3π/11) + (4π/11) + (5π/11) + 0 + (π/2) = (15π/11) + (π/2) = (30π + 11π)/22 = 41π/22
последний вариант ответа
((3x^3)^5*(3x^3)^4)/(9x^6)^4=24
(3x^3)^9/(3x^3)^8=24
3x^3=24
x^3=8
x=2
1)2^-10/2^-8= 2^-2=0,25
2)(-2^-3)^-2*2^-5= -2^6*2^-5= -2^1= -2
3)10^-3/10^5*10^10= 10^-8*10^10= 10^2= 100
4)(2^-4)^-3/2^7= 2^12/2^7= 2^5= 32
2-е не получается а так держи
Log5 x -3/log5 x-2=0
log²5 x-2log5 x -3=0 y=log5 x
y²-2y-3=0
D=4+12=16
y1=(2+4)/2=3 log5 x=3 x1=125
y2=(2-4)/2=-1 log5 x =-1 x2=1/5