anonymous
  • anonymous
solve the equation. Separate by commas, if more than one answer. x^(2)9^(x)-2x9^(x)=3(9^(x))
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[x ^{2}9^{x}-2x9^{x}=3(9^{x})\]
anonymous
  • anonymous
Do this...
anonymous
  • anonymous
Bring over the right-hand side and take out the common factor of 9^x. You have\[9^x(x^2-2x-3)=0\]

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anonymous
  • anonymous
That means
anonymous
  • anonymous
either \[9^x=0\]or\[x^2-2x-3=0\]
anonymous
  • anonymous
There is no x here that will make 9^x zero (if you plot any exponential function, you'll see that it never crosses below the x-axis)
anonymous
  • anonymous
Thanks a lot for explaining the steps, much appreciated.
anonymous
  • anonymous
But,\[x^2-2x-3=(x+1)(x-3)\]so your second factor has that\[(x+1)(x-3)=0 \rightarrow x=-1,3\]
anonymous
  • anonymous
No worries.
anonymous
  • anonymous
feel free to become a fan ;)
anonymous
  • anonymous
I will! :)
anonymous
  • anonymous
how do I become a fan though?
anonymous
  • anonymous
There should be a blue link next to my name...says, "Become a fan"
anonymous
  • anonymous
nice, very nice

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