SOLUTION: I need help solving this: Log4X-Log4(X-4)=1 the first two 4's are the bases. I tried distributing the second log by writing it like this: log4X-log4X-log4(4)=1 and then I

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need help solving this: Log4X-Log4(X-4)=1 the first two 4's are the bases. I tried distributing the second log by writing it like this: log4X-log4X-log4(4)=1 and then I       Log On


   



Question 309224: I need help solving this:
Log4X-Log4(X-4)=1
the first two 4's are the bases.
I tried distributing the second log by writing it like this:
log4X-log4X-log4(4)=1
and then I canceled out the first two and was left with -log4(4)=1 and I have no idea what I'm doing past that or even if that's right.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Log4X-Log4(X-4)=1
the first two 4's are the bases.
------------
log%284%2Cx%29+-+log%284%2C%28x-4%29%29+=+1
log%284%2Cx%2F%28x-4%29%29+=+1
x/(x-4) = 4
x = 4(x-4)
x = 4x-16
3x = 16
x = 16/3