Lg(4,5-x)=lg4,5-lgx

Question

Lg(4,5-x)=lg4,5-lgx

Answer 1

Lg(4,5-x)+Lg x=Lg4,5;
Lg(4,5-x)•x=Lg4,5;
4,5x-x^-4,5=0;
x^-4,5x+4,5=0;
2x^-9x+9=0
D=9
x=3;x=1,5. ОДЗ:х>0;х<4,5;(0;4,5)<br>Ответ:1,5;3