Log2(log3(log4 64))=log2(log3(3)=log2(1)=0
Пусть х = -1,1414..., тогда
100х = -114,1414...
Уравнение: 100х - х = - 114,1414 - (-1,1414)
99х = - 114 + 1
х = - 113/99
х = - 1 целая 14/99
Ответ: -1,(14) = - 1 целая 14/99
100-18=82
1)10206*82/100=10206*0,82=8368,92
2)8*8368,92=66951,36
3)5*10206=51030
4)66951,36+51031=117981,36(руб)
Cos2x + 2 = 0
cos2x = -2
Нет корней, т.к. косинус аргумента принадлежит отрезку [-1; 1].
sin4x = 0
4x = πn, n ∈ Z
x = πn/4, n ∈ Z.
2sin(x/2) + 1 = 0
sin(x/2) = -1/2
x/2 = (-1)ⁿ+¹π/6 + πn, n ∈ Z
x = (-1)ⁿ+¹π/3 + πn, n ∈ Z.
2cos2x - 1 = 0
cos2x = 1/2
2x = ±π/3 + 2πn, n ∈ Z.
x = ±π/6 + πn, n ∈ Z
2tg²x - tgx = 0
tgx(2tgx - 1) = 0
tgx = 0
x = πn, n ∈ Z.
2tgx - 1 = 0
tgx = 1/2
x = arctg(1/2) + πn, n ∈ Z.