Results 1 to 3 of 3

Math Help - change of base

  1. #1
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823

    change of base

    prove that \log{b}x=\frac{\log{a}x}{\log{a}b}. I'm having a little trouble getting started.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,110
    Thanks
    986
    Quote Originally Posted by VonNemo19 View Post
    prove that \log{b}x=\frac{\log{a}x}{\log{a}b}. I'm having a little trouble getting started.
    y = \log_b{x}

    b^y = x

    \log_a{b^y} = \log_a{x}

    y\log_a{b} = \log_a{x}

    y = \frac{\log_a{x}}{\log_a{b}}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    Another way :

    \log_b x=\frac{\ln(x)}{\ln(b)}=\frac{\ln(x)}{{\color{red}  \ln(a)}} \cdot \frac{{\color{red}\ln(a)}}{\ln(b)}=\log_ax\cdot\fr  ac1{\log_ab}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 13th 2011, 05:21 AM
  2. change of base?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 20th 2011, 05:49 AM
  3. change of base
    Posted in the LaTeX Help Forum
    Replies: 1
    Last Post: May 13th 2009, 02:56 PM
  4. log change of base...
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 21st 2008, 08:36 PM
  5. Change of base
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 12th 2007, 01:02 AM

Search Tags


/mathhelpforum @mathhelpforum