SOLUTION: Express as a single logarithm and, if possible, simplify. (((logb 3x + 6(logb x - logb y) ))))

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a single logarithm and, if possible, simplify. (((logb 3x + 6(logb x - logb y) ))))      Log On


   



Question 433968: Express as a single logarithm and, if possible, simplify.
(((logb 3x + 6(logb x - logb y) ))))

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
logb 3x + 6(logb x - logb y)
------
logb(3x) + 6logb(x)-6logb(y)
------
= logb(3x) + logb(x^6) - logb(y^6)
------
= logb[3x*x^6/y^6]
---
= logb[3x^7/y^6]
============================
Cheers,
Stan H.
=================