anonymous
  • anonymous
What is the solution to the equation (lny)^2 - 2ln(y^5) = 11, and how do you get the derivative of the equation with respect to y?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
wait, why are you trying to do a derivative of the equation? this is a simple quadratic equation.
anonymous
  • anonymous
Like as in -b(+-) sqrt b^2-4ac over 2a?
anonymous
  • anonymous
what is \[\ln a ^{b}\] ?

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anonymous
  • anonymous
Oh, so I can just plug all of that into the quadratic equation to get my solution and then take the derivative?
anonymous
  • anonymous
No, you dont need to take any derivatives at all.
anonymous
  • anonymous
I'm so confused.
anonymous
  • anonymous
just answer my question. what is \[\ln a ^{b}\]
anonymous
  • anonymous
a^b?
anonymous
  • anonymous
okay do you know about logarithms?
anonymous
  • anonymous
A little. I had calculus last semester...and I'm having to refresh everything...lol. If I took the derivative of the equation you just gave me, then I would get a^b right?
anonymous
  • anonymous
I didn't ask for the derivative of log a^b. I just asked what log a^b was.
anonymous
  • anonymous
okay log a^b = b log a
anonymous
  • anonymous
Oh! Yes.
anonymous
  • anonymous
http://en.wikipedia.org/wiki/Logarithmic_identities#Algebraic_identities_or_laws
anonymous
  • anonymous
do you know what logarithm means though?
anonymous
  • anonymous
don't worry, thats a side question.
anonymous
  • anonymous
Holy crap! So, really the problem should look like...\[((lny)^2)/(2lny^5)\]
anonymous
  • anonymous
NO! how did you get THAT?
anonymous
  • anonymous
(lny)^2 - 2lny^5 = 11 or (lny)^2 - 10 lny -11 = 0 say ln y = x x^2-10x-11 =0 solve for x, substitute in ln y
anonymous
  • anonymous
got it?
anonymous
  • anonymous
need feedback to know you got it.
anonymous
  • anonymous
Ohhh OKay I got it, I'm sorry for the delay. I was making dinner. That makes sense. See, I started dividing because I figured if you have ln (2-3) then it's ln 2/ln 3. Idk. I don't know why I thought that.

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