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