SOLUTION: expand: ln(4x^5)/3xy(x+1)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: expand: ln(4x^5)/3xy(x+1)      Log On


   

Question 405505: expand: ln(4x^5)/3xy(x+1)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
expand: ln(4x^5)/3xy(x+1)
---
Simplify:
= ln[4x^4/3y(x+1)]
===
= ln(4x^4)-ln(3y(x+1))
---
= ln4+4ln(x)-[ln(3)+ln(y)+ln(x+1)]
---
= ln4+4ln(x)-ln(3)-ln(y)-ln(x+1)
=====================
Cheers,
Stan H.
===========

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

expand: ln(4x^5)/3xy(x+1)

Simplify:

= ln%284x%5E4%2F3y%28x%2B1%29%29

= ln%284x%5E4%29-ln%283y%28x%2B1%29%29

= ln4%2B4ln%28x%29-%28ln%283%29%2Bln%28y%29%2Bln%28x%2B1%29%29

= ln4%2B4ln%28x%29-ln%283%29-ln%28y%29-ln%28x%2B1%29