logx=2log(x+1)-log(x+3)

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Solution for logx=2log(x+1)-log(x+3) equation:


Simplifying
logx = 2log(x + 1) + -1log(x + 3)

Reorder the terms:
glox = 2glo(1 + x) + -1log(x + 3)
glox = (1 * 2glo + x * 2glo) + -1log(x + 3)
glox = (2glo + 2glox) + -1log(x + 3)

Reorder the terms:
glox = 2glo + 2glox + -1glo(3 + x)
glox = 2glo + 2glox + (3 * -1glo + x * -1glo)
glox = 2glo + 2glox + (-3glo + -1glox)

Reorder the terms:
glox = 2glo + -3glo + 2glox + -1glox

Combine like terms: 2glo + -3glo = -1glo
glox = -1glo + 2glox + -1glox

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

Solving
glox = -1glo + 1glox

Solving for variable 'g'.

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

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

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

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

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

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

Simplifying
glo = 0

The solution to this equation could not be determined.

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