SOLUTION: would really appreciate help on this one! solve for x: 2log[base 4]x-log[base 4](x-1)=1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: would really appreciate help on this one! solve for x: 2log[base 4]x-log[base 4](x-1)=1      Log On


   

Question 48260: would really appreciate help on this one!
solve for x:
2log[base 4]x-log[base 4](x-1)=1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2log[base 4]x-log[base 4](x-1)=1
log(4)[x^2/(x-1)=1
x^2/(x-1)=4
x^2-4x+4=0
(x-2)^2=0
x=2 with multiplicity 2
Cheers,
Stan H.