log(x^2-4)-log(x-2)=1

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Solution for log(x^2-4)-log(x-2)=1 equation: 


Simplifying
log(x2 + -4) + -1log(x + -2) = 1

Reorder the terms:
glo(-4 + x2) + -1log(x + -2) = 1
(-4 * glo + x2 * glo) + -1log(x + -2) = 1
(-4glo + glox2) + -1log(x + -2) = 1

Reorder the terms:
-4glo + glox2 + -1glo(-2 + x) = 1
-4glo + glox2 + (-2 * -1glo + x * -1glo) = 1
-4glo + glox2 + (2glo + -1glox) = 1

Reorder the terms:
-4glo + 2glo + -1glox + glox2 = 1

Combine like terms: -4glo + 2glo = -2glo
-2glo + -1glox + glox2 = 1

Solving
-2glo + -1glox + glox2 = 1

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-1 + -2glo + -1glox + glox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2glo + -1glox + glox2 = 0

The solution to this equation could not be determined.

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