SOLUTION: log(x+5)=log(5x-3)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(x+5)=log(5x-3)      Log On


   

Question 597657: log(x+5)=log(5x-3)
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(x+5)=log(5x-3)
---
x+5 = 5x-3
4x = 8
x = 2
--------------
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the logs are equal, then the things
that they are logs of have to be equal, so
+x+%2B+5+=+5x+-+3+
+4x+=+8+
+x+=+2+
Is the original equation true?
+log%28x%2B5%29=log%285x-3%29+
+log%282%2B5%29=log%285%2A2-3%29+
+log%28+7+%29+=+log%28+10+-+3+%29+
+log%28+7+%29+=+log%28+7+%29+
OK