How Do You Solve log_{2}8x^{2} When log_{2}x Equals p?

[thomas49th]

Homework Statement

Given that log_{2}x = p
a) Find log_{2}8x^{2} in terms of p

The Attempt at a Solution

take the power outside the log

2log_{2}8x

but i can't see what to do next

Any suggestions

Thanks :)

 

[Doc Al]

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.)

 

[thomas49th]

log_{2}8x^{2}

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

3 + 2p

Thanks :)

it was easy!

 

[Doc Al]

Now you've got it!