SOLUTION: log4 y + logy 4 =5/2

Question 459621: log4 y + logy 4 =5/2
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

Use the identity:

, ,  

on the second term:



Let 



Clear of fractions by multiplying through by 2U



Get 0 on the right:

 

Factor the left side:










For 
Replace U by 



Replace by the exponential equivalent:



For 
Replace U by 



Replace by the exponential equivalent:



So there are two solutions, y = 2 and y = 16.

Edwin

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