1. Jun 1, 2008 #1

   thomas49th

   

   1. The problem statement, all variables and given/known data
   Given that [tex]log_{2}x = p[/tex]
   a) Find [tex]log_{2}8x^{2}[/tex] in terms of p
   
   
   3. 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 :)

    

   thomas49th, Jun 1, 2008
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3. Jun 1, 2008 #2

   Doc Al

   

   Staff: Mentor

   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.)

    

   Doc Al, Jun 1, 2008
4. Jun 1, 2008 #3

   thomas49th

   

   [tex]log_{2}8x^{2}[/tex]
   
   [tex]log_{2}8 + 2log_{2}x[/tex]
   
   [tex]3 + 2p[/tex]
   
   Thanks :)
   
   it was easy!

    

   thomas49th, Jun 1, 2008
5. Jun 1, 2008 #4

   Doc Al

   

   Staff: Mentor

   Now you've got it!

    

   Doc Al, Jun 1, 2008

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