SOLUTION: Solve the logarithmic equation for x. log5 6 + log5 x = log5 8 + log5(x − 5)

Algebra ->  Equations -> SOLUTION: Solve the logarithmic equation for x. log5 6 + log5 x = log5 8 + log5(x − 5)      Log On


   

Question 968010: Solve the logarithmic equation for x.
log5 6 + log5 x = log5 8 + log5(x − 5)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the logarithmic equation for x.
log5 6 + log5 x = log5 8 + log5(x − 5)
-------------------
log5[6x] = log5[8(x-5)]
--------
Equation:
6x = 8x-40
2x = 40
x = 20
------------
Cheers,
Stan H.
------------

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C6%29+%2B+log%285%2Cx%29+=+log%285%2C8%29+%2B+log%285%2C%28x-5%29%29
log%285%2C+6x%29++=+log%285%2C8%28x-5%29%29...if log and base same, then
6x++=+8%28x-5%29
3x++=+4x-20
20++=+4x-3x
20++=+x