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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- Dec 12th 2011, 11:22 AMMagisterPS3Need 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 - Dec 12th 2011, 11:25 AMMagisterPS3Re: Need help with logs
That isnt a minus 4

- Dec 12th 2011, 11:29 AMemakarovRe: Need help with logs
I am assuming it's $\displaystyle \log(p/\sqrt{q})$, not $\displaystyle (\log p)/\sqrt{q}$. In plain text, one could write log(p) / sqrt(q). Have you tried applying different logarithm identities?

Have you seen examples of solutions of such equations? - Dec 12th 2011, 11:38 AMMagisterPS3Re: Need help with logs
I have seen examples of both but im not sure how to put in terms of a letter...

- Dec 12th 2011, 11:44 AMPlatoRe: Need help with logs
- Dec 12th 2011, 11:45 AMemakarovRe: 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 $\displaystyle \log_4$ to both sides and use the fact that $\displaystyle \log_4\left(4^y\right)=y$.

- Dec 12th 2011, 11:51 AMMagisterPS3Re: Need help with logs
Thanks very much guys I got it. :)