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anonymous

  • 5 years ago

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?

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  1. anonymous
    • 5 years ago
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    wait, why are you trying to do a derivative of the equation? this is a simple quadratic equation.

  2. anonymous
    • 5 years ago
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    Like as in -b(+-) sqrt b^2-4ac over 2a?

  3. anonymous
    • 5 years ago
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    what is \[\ln a ^{b}\] ?

  4. anonymous
    • 5 years ago
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    Oh, so I can just plug all of that into the quadratic equation to get my solution and then take the derivative?

  5. anonymous
    • 5 years ago
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    No, you dont need to take any derivatives at all.

  6. anonymous
    • 5 years ago
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    I'm so confused.

  7. anonymous
    • 5 years ago
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    just answer my question. what is \[\ln a ^{b}\]

  8. anonymous
    • 5 years ago
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    a^b?

  9. anonymous
    • 5 years ago
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    okay do you know about logarithms?

  10. anonymous
    • 5 years ago
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    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?

  11. anonymous
    • 5 years ago
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    I didn't ask for the derivative of log a^b. I just asked what log a^b was.

  12. anonymous
    • 5 years ago
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    okay log a^b = b log a

  13. anonymous
    • 5 years ago
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    Oh! Yes.

  14. anonymous
    • 5 years ago
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    http://en.wikipedia.org/wiki/Logarithmic_identities#Algebraic_identities_or_laws

  15. anonymous
    • 5 years ago
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    do you know what logarithm means though?

  16. anonymous
    • 5 years ago
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    don't worry, thats a side question.

  17. anonymous
    • 5 years ago
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    Holy crap! So, really the problem should look like...\[((lny)^2)/(2lny^5)\]

  18. anonymous
    • 5 years ago
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    NO! how did you get THAT?

  19. anonymous
    • 5 years ago
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    (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

  20. anonymous
    • 5 years ago
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    got it?

  21. anonymous
    • 5 years ago
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    need feedback to know you got it.

  22. anonymous
    • 5 years ago
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    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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