- #1

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## Homework Statement

Given that [tex]log_{2}x = p[/tex]

a) Find [tex]log_{2}8x^{2}[/tex] in terms of p

## The Attempt at a Solution

take the power outside the log

[tex]2log_{2}8x[/tex]

but i cant see what to do next

Any suggestions

Thanks :)

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- Thread starter thomas49th
- Start date

- #1

- 655

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Given that [tex]log_{2}x = p[/tex]

a) Find [tex]log_{2}8x^{2}[/tex] in terms of p

take the power outside the log

[tex]2log_{2}8x[/tex]

but i cant see what to do next

Any suggestions

Thanks :)

- #2

Doc Al

Mentor

- 45,261

- 1,616

[tex]{log}_{2}(8x^{2})[/tex]

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

- #3

- 655

- 0

[tex]log_{2}8x^{2}[/tex]

[tex]log_{2}8 + 2log_{2}x[/tex]

[tex]3 + 2p[/tex]

Thanks :)

it was easy!

[tex]log_{2}8 + 2log_{2}x[/tex]

[tex]3 + 2p[/tex]

Thanks :)

it was easy!

- #4

Doc Al

Mentor

- 45,261

- 1,616

Now you've got it!

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