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Is x = 0 a valid potential solution to the equation log(x + 7) + log(x − 3) = 17?

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Plug x = 0 to check


\log(x+7) + \log(x-3)\\\\=\log(0+7) + \log(0-3)\\\\=\log 7 + \log (-3)\\\\

You cant take log of negative number or 0 so x = 0 is not a solution.

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