SOLUTION: write each expression as a sum and/or difference of logarithms. Express powers as factors. ln[((x-4)^2)/((x^2)-1))^(2/3) x>4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: write each expression as a sum and/or difference of logarithms. Express powers as factors. ln[((x-4)^2)/((x^2)-1))^(2/3) x>4      Log On


   

Question 415787: write each expression as a sum and/or difference of logarithms. Express powers as factors.
ln[((x-4)^2)/((x^2)-1))^(2/3)
x>4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write each expression as a sum and/or difference of logarithms. Express powers as factors.
ln[((x-4)^2)/((x^2)-1))^(2/3)
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= ln(x-4)^2 - ln((x^2)-1)^(2/3)
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= 2*ln(x-4) - (2/3)*ln(x^2-1)
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Cheers,
Stan H.
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