SOLUTION: how do you to the log base 2 of the third root of 32. if you could explain too

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Question 98950: how do you to the log base 2 of the third root of 32. if you could explain too
Answer by Edwin McCravy(20067)   (Show Source): You can put this solution on YOUR website!
how do you to the log base 2 of the third root of 32.
if you could explain too


               log2

Rewrite  as 

               log2

Break 32 into prime factors:  32 = 2򈭾򈭾 = 
then replace 32 by 

               log2

Remove the parentheses by multiplying the inner exponent 5
by the outer exponent  to get 

               log2

Use the principle logb = 

               

That's the answer. 

Edwin
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