Results 1 to 2 of 2

Thread: Logs help

  1. #1
    Junior Member
    Joined
    Oct 2008
    From
    Lewes, England
    Posts
    37

    Logs help

    Given that $\displaystyle p=\log_{q}16$, express $\displaystyle \log_{q}2$ and $\displaystyle \log_{2}8q$ in terms of p.

    The answers are $\displaystyle \frac{p}{4}$ and $\displaystyle 3+\frac{4}{p}$ respectively. I kind of get why the first one would be that but I really don't know how to work either of them out
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member great_math's Avatar
    Joined
    Oct 2008
    Posts
    132
    Quote Originally Posted by greghunter View Post
    Given that $\displaystyle p=\log_{q}16$, express $\displaystyle \log_{q}2$ and $\displaystyle \log_{2}8q$ in terms of p.

    The answers are $\displaystyle \frac{p}{4}$ and $\displaystyle 3+\frac{4}{p}$ respectively. I kind of get why the first one would be that but I really don't know how to work either of them out
    $\displaystyle \log_q2^4=p$

    $\displaystyle 4\log_q2=p$

    $\displaystyle \log_q2=\frac{p}{4}$

    For no. 2)

    Write $\displaystyle \log_28q$ as $\displaystyle \log_2(8\cdot q)=\log_28+\log_2q$

    $\displaystyle \log_28q=3+\frac{1}{\log_q2}$

    $\displaystyle \log_28q=3+\frac{4}{p}$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 9
    Last Post: Feb 22nd 2011, 05:39 PM
  2. Logs
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Apr 24th 2010, 07:52 AM
  3. Logs
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Oct 10th 2009, 06:08 PM
  4. Dealing with Logs and Natural Logs
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: Apr 14th 2008, 06:18 AM
  5. several questions-logs/natural logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Nov 12th 2007, 08:58 PM

Search Tags


/mathhelpforum @mathhelpforum