Question

Rozwiąż równanie

Answer 1

X>0 i logx≠5  i  logx≠-1
logx=t

1/(5-t)+2/(1+t)=1  /*(5-t)(1+t)
1+t+2(5-t)=5+5t-t-t²
t²-4t-5+1+t+10-2t=0
t²-5t+6=0
t²-2t-3t+6=0
t(t-2)-3(t-2)=0
(tt-2)(t-3)=0
t=2  v  t=3
logx=2  v  logx=3
x=100 v  x=1000