Mathematic Problems
xlog3x-1=3
xlog3x-1=3 /log33
F: x>0
log3xlog3x-1=log33
log3x-1×log3x=1
log3x-1×log3x12=1
log3x-1×12log3x=1
log3x=t
t-1×12t=t
12t2-12t=1
12t2-12t-1=0 /×2
t2-t-2=0
t1,2=1±1+82
t1,2=1±32
t1=2 t2=-1
log3x=2 
x=32x=9
log3x=-1
x=3-1x=13
x=3-1x=13