SOLUTION: I dont know how to do this problem because of the square root, I couldnt even write it correctly on this post. Help! Given that {{{ log ( 2, 5 ) = 2.3219}}} and {{{ log ( 2, 7 ) =

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Question 108483: I dont know how to do this problem because of the square root, I couldnt even write it correctly on this post. Help!
Given that and , evaluate

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
dont know how to do this problem because of the square root, I couldnt even write it correctly on this post. Help!
Given that and , evaluate

First we change the square root to the  power,
since they are equivalent:

So the first step is to change 



to



Second step is to move the exponent 
in front of the logarithm as a coefficient:

 

Third step is to write  as  
So we now have



Fourth step, we put parentheses around the logarithm



Fifth step, we write the  as 
so now we have



Sixth step, we substitute the given decimal values for the logarithms,
that is,  and 
so we now have



Seventh step, we evaluate the whole thing with a calculator:

Answer: 

Edwin


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