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

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


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

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

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

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

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

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

Solving
4glo + -1x = 2glo

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.
4glo + -2glo + -1x = 2glo + -2glo

Combine like terms: 4glo + -2glo = 2glo
2glo + -1x = 2glo + -2glo

Combine like terms: 2glo + -2glo = 0
2glo + -1x = 0

Add 'x' to each side of the equation.
2glo + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2glo + 0 = 0 + x
2glo = 0 + x
Remove the zero:
2glo = x

Divide each side by '2lo'.
g = 0.5l-1o-1x

Simplifying
g = 0.5l-1o-1x

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