# Math Help - Need help with logs

1. ## 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

2. ## Re: Need help with logs

That isnt a minus 4

3. ## Re: Need help with logs

Originally Posted by MagisterPS3
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?

Originally Posted by MagisterPS3
Solve the equation - 4 ^(3x + 1) = 7
Have you seen examples of solutions of such equations?

4. ## Re: Need help with logs

I have seen examples of both but im not sure how to put in terms of a letter...

5. ## Re: Need help with logs

Originally Posted by MagisterPS3
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?

6. ## 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 $\log_4\left(4^y\right)=y$.

7. ## Re: Need help with logs

Thanks very much guys I got it.