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so i have this problem it reads:

how many solutions does the following equation have

Log_a(x+3) + Log_a(x-4) = Log_a(8)

ok so first i put all the logs on one side of the equation and solve for x after using log laws,

and i get x = 4 and x = -3, however plugging these into the equation will result in Log(o) so i answer the question with the equation has 0 solutions but the book tells me it has 1 solution.

can someone please explain this to me - thank you very much for your time i do appreciate it,

Claudius