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

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


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

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

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

Solving
2glo + -1glox = 1 + 4glo + -1glox2

Solving for variable 'g'.

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

Add '-4glo' to each side of the equation.
2glo + -4glo + -1glox = 1 + 4glo + -4glo + -1glox2

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

Combine like terms: 4glo + -4glo = 0
-2glo + -1glox = 1 + 0 + -1glox2
-2glo + -1glox = 1 + -1glox2

Add 'glox2' to each side of the equation.
-2glo + -1glox + glox2 = 1 + -1glox2 + glox2

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

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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