Задача 43632 ...

azot

2020-01-23 19:48:22

11*4^log²4(x-1)-3(x-1)^log(x-1)^2=-4

sova

2020-01-23 21:13:04

★

[m]4^{log^2_{4}(x-1)}=4^{log_{4}(x-1)\cdot log_{4}(x-1)}=4^{n\cdot n}=(4^{n})^{n}=(4^{log_{4}(x-1)})^{log_{4}(x-1)}=[/m]

[m]a^{log_{a}b}=b\Rightarrow 4^{log_{4}(x-1)}=x-1[/m]

[m](x-1)^{log_{4}(x-1)^2}=(x-1)^{2log_{4}(x-1)}=((x-1)^{log_{4}(x-1)})^{2}[/m]


Уравнение сводится к квадратному

11t-3t^2=-4