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

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


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

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

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

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

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

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

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

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

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

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

Solving
-2glo = 4glo

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 = 4glo + -4glo

Combine like terms: -2glo + -4glo = -6glo
-6glo = 4glo + -4glo

Combine like terms: 4glo + -4glo = 0
-6glo = 0

Divide each side by '-6'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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