Найду корень уравнения: 16^(x-9)=1/2
x1 = 35/4
log(34359738368) pi*I x2 = ---------------- - -------- 4*log(2) 2*log(2)
log(34359738368) pi*I x3 = ---------------- + -------- 4*log(2) 2*log(2)
35 pi*I x4 = -- + ------ 4 log(2)
сумма
35 log(34359738368) pi*I log(34359738368) pi*I 35 pi*I -- + ---------------- - -------- + ---------------- + -------- + -- + ------ 4 4*log(2) 2*log(2) 4*log(2) 2*log(2) 4 log(2)
=
35 log(34359738368) pi*I -- + ---------------- + ------ 2 2*log(2) log(2)
произведение
/log(34359738368) pi*I \ 35*|---------------- - --------| \ 4*log(2) 2*log(2)/ /log(34359738368) pi*I \ /35 pi*I \ --------------------------------*|---------------- + --------|*|-- + ------| 4 \ 4*log(2) 2*log(2)/ \4 log(2)/
=
35*(-2*pi*I + log(34359738368))*(2*pi*I + log(34359738368))*(4*pi*I + log(34359738368)) --------------------------------------------------------------------------------------- 3 256*log (2)
x1 = 8.75
x2 = 8.75 - 2.2661800709136*i
x3 = 8.75 + 2.2661800709136*i
x4 = 8.75 + 4.53236014182719*i