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

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


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

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

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

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

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

Combine like terms: 4glo + 4glo = 8glo
8glo + 2glox = 1 + -4glo + 4glo + glox2

Combine like terms: -4glo + 4glo = 0
8glo + 2glox = 1 + 0 + glox2
8glo + 2glox = 1 + glox2

Add '-1glox2' to each side of the equation.
8glo + 2glox + -1glox2 = 1 + glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
8glo + 2glox + -1glox2 = 1 + 0
8glo + 2glox + -1glox2 = 1

Reorder the terms:
-1 + 8glo + 2glox + -1glox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 8glo + 2glox + -1glox2 = 0

The solution to this equation could not be determined.

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