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Temka [501]
3 years ago
7

Log3(X-5)+log3(x+3)=2

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0
LnA +LnB= LnA.B
so we get <span>Log3(X-5)+log3(x+3)=Ln3(x-5)(x+3)=2 implies 
</span>(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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Answer:

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