eba0lleneishambe eba0lleneishambe

08-11-2016
Mathematics

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log3(X-5)+log3(x+3)=2

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Nirina7 Nirina7

11-11-2016

LnA +LnB= LnA.B
so we get Log3(X-5)+log3(x+3)=Ln3(x-5)(x+3)=2 implies
(x-5)(x+3)=2^3=8, so we can solve easily the quadratic equation
x^2-2x-23=0, there are two solution x=1 -sqrt(24), and x=1+sqrt(24)

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