SOLUTION: Log2(x^2-9)=4

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Question 1138529: Log2(x^2-9)=4
Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!





........if log same, then




or


Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

Log2(x^2-9)=4


 ------ Converting to EXPONENTIAL form





(x - 5)(X + 5) = 0

 

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
 .


 = 


is equivalent to


     =     (by the definition of the logarithm)


which, in turn, is equivalent to


     = ,   or

     = 25.


Hence,  x =  = +/- 5.


ANSWER.  The given equation has two solutions,  x= 5  and  x= -5.





 

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