Urgent LOG help needed please

  • Thread starter thomas49th
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  • #1
thomas49th
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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 can't see what to do next

Any suggestions

Thanks :)
 

Answers and Replies

  • #2
Doc Al
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I assume you mean:
[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
thomas49th
655
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[tex]log_{2}8x^{2}[/tex]

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

[tex]3 + 2p[/tex]

Thanks :)

it was easy!
 
  • #4
Doc Al
Mentor
45,461
1,948
Now you've got it! :wink:
 

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