1. Jun 1, 2008

thomas49th

1. The problem statement, all variables and given/known data
Given that $$log_{2}x = p$$
a) Find $$log_{2}8x^{2}$$ in terms of p

3. The attempt at a solution

take the power outside the log

$$2log_{2}8x$$

but i cant see what to do next

Any suggestions

Thanks :)

2. Jun 1, 2008

Staff: Mentor

I assume you mean:
$${log}_{2}(8x^{2})$$

First things first. How do logs work with products? log(ab) = ?? (In your example, a = 8 and b = x^2.)

3. Jun 1, 2008

thomas49th

$$log_{2}8x^{2}$$

$$log_{2}8 + 2log_{2}x$$

$$3 + 2p$$

Thanks :)

it was easy!

4. Jun 1, 2008

Staff: Mentor

Now you've got it!