I have a strange problem.(adsbygoogle = window.adsbygoogle || []).push({});

Have this example.

log(x-2)+log(x+1)=0

Domain of these functions are: x>2, x>-1 resulting in x>2;

by logarithm rule we can combine these 2 logarithms and make one logarithm.

log(x-2)(x+1)=0

(-infinity,-1) U (2,+infinity)

But the domain of this changes. How can we combine these 2 logarithms if the domain changes? Am I missing something here?

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# Logarithm problem

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