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

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


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

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

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

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

Combine like terms: 4glo + -2glo = 2glo
2glo + -1glox + glox2 = 2 + log(x + -2)

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

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

Solving for variable 'g'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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