1) Весь путь равен : Х = 0,5Х+( 0,6*05Х)+24 2)Х=0,5Х+0,3Х+24 3)Х=0,8Х+24 4)Х-0,8Х=24 5)0,2Х=24 6)Х=24:0,2=24*10:2=120 Ответ: Х = 120 км
47*11/19+5/13*49/40+(8/19)*47-9/40*5/14= 47*11/19+49/(13*8)+47*8/19-9/(8*14)=
(47*11+47*8)/19+(49*14-9*13)/(8*14*13)=
47*(11+8)/19+(686-117)/(8*14*13)=
47*19/19+569/8*14*13= 47+569/8*14*13=
(47*8*14*13+569)/8*14*13= 69001/8*14*13=
69001/1456= 47 целых 569/1456.
47)
27^((3x-8)/15)=1/81
27^((3x-8)/15)=81^(-1)
3^(3*((3x-8)/15)=3^(-4)
3*((3x-8)/15)=-4
(3x-8)/5=-4
3x-8=-4*5
3x-8=-20
3x=-20+8
3x=-12
x=-12/3
x=-4
<span>48)
</span>100^(x+8)=0,001
10^(2*(x+8))=10^-3
2*(x+8)=-3
2x+16=-3
2x=-3-8
2x=-11
x=-11/2
<span>x=-5,5</span><span>
</span><span>49)
log5(3-x)=2
log5(3-x)=log5(25)
3-x=25
x=3-25
x=-22</span>
2cosx - 1 = 0 [0; 2pi]
2cosx = 1
cosx = 1/2
x = +- pi/3 + 2pik, k ∈ Z
1) k = -1
x1 = + pi/3 - 2pi = pi/3 - 6pi/3 = (pi-6pi)/3 = -5pi/3 ∉
x2 = - pi/3 - 2pi = - pi/3 - 6pi/3 = (-pi-6pi)/3 = -7pi/3 ∉
2) k = 0
x1 = +pi/3 ∈
x2 = - pi/3 ∉
3) k =1
x1 = +pi/3 + 2pi = pi/3 + 6pi/3 = (pi+6pi)/3 = 7pi/3 ∉
x2 = -pi/3 + 2pi = -pi/3 + 6pi/3 = (-pi+6pi)/3 = 5pi/3 ∈
4) k = 2
x1 = +pi/3 + 4pi = pi/3 + 12pi/3 = (pi+12pi)/3 = 13pi/3 ∉
x2 = -pi/3 + 4pi = -pi/3 + 12pi/3 = (-pi+12pi)/3 = 11pi/3 ∉
ОТВЕТ: pi/3; 5pi/3
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