rscott8630 rscott8630
  • 25-10-2018
  • Mathematics
contestada

Write the expression 3 log(x-2)+log(x+2)-log(x^2-4) as a single logarithm.

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 25-10-2018

[tex]3 \log(x-2)+\log(x+2)-\log(x^2-4) = 3 \log \frac{(x-2)(x+2)}{(x^2-4)}=\\=3 \log \frac{(x^2-4)}{(x^2-4)}=3\log 1= \log 1^3 = \log 1 = 0[/tex]

to answer with a single logarithm: log 1, and the value is 0

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