SOLUTION: Write the expression as the sum and/or difference. log base3 (xsquared+2x+1), x>0 ___________ ___

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the expression as the sum and/or difference. log base3 (xsquared+2x+1), x>0 ___________ ___       Log On


   



Question 170743This question is from textbook College Algebra
: Write the expression as the sum and/or difference.
log base3 (xsquared+2x+1), x>0
_______________
(xsquared)

This question is from textbook College Algebra

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+2x+1 can be factored into (x+1)^2
the exponent of the log function is placed in front because
it is equivalent to (x+1)(x+1) when you multiply logs you can add them together thus log base 3(x+1)+log base 3(x+1)=2log base 3(x+1)
When you divide logs you can subtract them.

2log base 3(x+1)-2log base 3(x) is the final expression