Results 1 to 4 of 4

Math Help - Logarithmic Differentation

  1. #1
    Junior Member
    Joined
    Oct 2007
    Posts
    31

    Logarithmic Differentation

    Any help with solving this... I can't figure it out.

    3^xlog_8(x)

    That is, I need to find the derivative. I think this is the first step:

    ln(3)/ln(8)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    3^x \log_8 x = \frac{3^x \ln x}{\ln 8}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2007
    Posts
    31
    Do i continue with using the quetient rule. Is f'(x)= 3^xln(x)*3?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,110
    Thanks
    982
    Quote Originally Posted by cjmac87 View Post
    Do i continue with using the quetient rule. Is f'(x)= 3^xln(x)*3?


     \frac{3^x \ln{x}}{\ln{8}} = \frac{1}{\ln{8}} \cdot 3^x \ln{x}<br />

    use the product rule ...

    \frac{1}{\ln{8}}\left(3^x \cdot \frac{1}{x} + 3^x \cdot \ln{3} \cdot \ln{x}\right)

    now clean up the algebra.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Differentation
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 27th 2011, 12:08 PM
  2. differentation
    Posted in the Calculus Forum
    Replies: 8
    Last Post: September 7th 2008, 03:38 AM
  3. HELP differentation
    Posted in the Calculus Forum
    Replies: 10
    Last Post: June 11th 2008, 08:22 AM
  4. HELP differentation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 3rd 2008, 02:02 PM
  5. Differentation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 12th 2008, 11:39 PM

Search Tags


/mathhelpforum @mathhelpforum