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Math Help - Need help with logs

  1. #1
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    Need help with logs

    Write log p / square root of q in terms of log p and log q.


    Solve the equation - 4 ^(3x + 1) = 7

    Thanks
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  2. #2
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    Re: Need help with logs

    That isnt a minus 4
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  3. #3
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    Re: Need help with logs

    Quote Originally Posted by MagisterPS3 View Post
    Write log p / square root of q in terms of log p and log q.
    I am assuming it's \log(p/\sqrt{q}), not (\log p)/\sqrt{q}. In plain text, one could write log(p) / sqrt(q). Have you tried applying different logarithm identities?

    Quote Originally Posted by MagisterPS3 View Post
    Solve the equation - 4 ^(3x + 1) = 7
    Have you seen examples of solutions of such equations?
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  4. #4
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    Re: Need help with logs

    I have seen examples of both but im not sure how to put in terms of a letter...
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  5. #5
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    Re: Need help with logs

    Quote Originally Posted by MagisterPS3 View Post
    I have seen examples of both but im not sure how to put in terms of a letter...
    Here is an example to follow:
    \log(a^2\sqrt[3]b)=2\log(a)+\tfrac{1}{3}\log(b).

    We add logs for multiplication, what is done for division?
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  6. #6
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    Re: Need help with logs

    For the first problem, try applying some of the four identities in the link from post #3. For the second problem, multiply both sides by -1, apply \log_4 to both sides and use the fact that \log_4\left(4^y\right)=y.
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  7. #7
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    Re: Need help with logs

    Thanks very much guys I got it.
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