SOLUTION: Write as a single logarithm and simplify: log_(2)(a+b)+log_(2)(a-b)-2log_(2)(a) So far I've gotten log_(2)(a+b)(a-b)-log_(2)(a)^2 =log_(2)((a+b)(a-b))/(a^2) I

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write as a single logarithm and simplify: log_(2)(a+b)+log_(2)(a-b)-2log_(2)(a) So far I've gotten log_(2)(a+b)(a-b)-log_(2)(a)^2 =log_(2)((a+b)(a-b))/(a^2) I      Log On


   



Question 819011: Write as a single logarithm and simplify: log_(2)(a+b)+log_(2)(a-b)-2log_(2)(a)
So far I've gotten log_(2)(a+b)(a-b)-log_(2)(a)^2
=log_(2)((a+b)(a-b))/(a^2)
I need help completing this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write as a single logarithm and simplify: log_(2)(a+b)+log_(2)(a-b)-2log_(2)(a)
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log2[(a+b)(a-b)]-log2(a^2)
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= log2[(a^2-b^2)/a^2]
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Cheers,
Stan H
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