I see two major errors
1. from log A + log B = log (A x B)
your second line should have been
then in your third line
the right side should have been 15, not 4
x(x-2) = 15
x^2 - 2x - 15 = 0
(x-5)(x+2) = 0
x = 5 or x = -2, but x+-2 does not work since you cannot take the log of a negative
should have been
x-5)(x+3) = 0
x = 5 or x = -3, but x=-3 does not work since you cannot take the log of a negative
so x =l 5 is still the only solution
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