anonymous
  • anonymous
Solve 2log(x+1)-log(5x+1)+log(x-1)=log2.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
star with \[\log(\frac{(x+1)^2(x-1)}{5x+1})=\log(2)\]
anonymous
  • anonymous
okay yeah i did that, i'm not sure how to move from there :S the answer is supposed to be 3.
anonymous
  • anonymous
oh carp you are going to end up with a cubic polynomial. oh well...

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anonymous
  • anonymous
\[(x+1)^2(x-1)=2(5x+1)\]
anonymous
  • anonymous
\[x^3+x^2-11 x-3 = 0\]
anonymous
  • anonymous
how you are supposed to solve this is anyone's guess, but if there is a rational solution it has to be either 3 or -3 so i imagine you are supposed to try 3 and see that it works
anonymous
  • anonymous
then you have to factor as \[(x-3)(x^2+4x+1)\] and see that the other two zeros are negative
anonymous
  • anonymous
oh so i would use quadratic formula to solve the second set?
anonymous
  • anonymous
yes, but both answers are negative so you can disregard them because you would end up taking a log of a negative number, which is not defined
anonymous
  • anonymous
what do you mean by "you would end up taking a log of a negative number, which is not defined", didn't we drop the logs though?

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