SOLUTION: 2 log base 5 x + 3 log base 5 (x-2). My instructor said the answer is log 32.5/log square root of 2. I understand where he got the log square root of 2 but don't understand the

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2 log base 5 x + 3 log base 5 (x-2). My instructor said the answer is log 32.5/log square root of 2. I understand where he got the log square root of 2 but don't understand the      Log On


   



Question 681673: 2 log base 5 x + 3 log base 5 (x-2). My instructor said the answer is
log 32.5/log square root of 2. I understand where he got the log square root of 2 but don't understand the log 32.5. I wasn't sure if I wrote his review problem down correctly.
Thanks

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2 log base 5 x + 3 log base 5 (x-2)
----------
2log%285%2Cx%29+%2B+3log%285%2C%28x-2%29%29
= log(x^2) + log(x-2)^3)
= log(x^2*(x-2)^3}}}
All logs base 5