log(x+1)+log(x+5)=log(x+2x+1)-log(x+1)

Solution for log(x+1)+log(x+5)=log(x+2x+1)-log(x+1) equation:

Simplifying
log(x + 1) + log(x + 5) = log(x + 2x + 1) + -1log(x + 1)

Reorder the terms:
glo(1 + x) + log(x + 5) = log(x + 2x + 1) + -1log(x + 1)
(1 * glo + x * glo) + log(x + 5) = log(x + 2x + 1) + -1log(x + 1)
(1glo + glox) + log(x + 5) = log(x + 2x + 1) + -1log(x + 1)

Reorder the terms:
1glo + glox + glo(5 + x) = log(x + 2x + 1) + -1log(x + 1)
1glo + glox + (5 * glo + x * glo) = log(x + 2x + 1) + -1log(x + 1)
1glo + glox + (5glo + glox) = log(x + 2x + 1) + -1log(x + 1)

Reorder the terms:
1glo + 5glo + glox + glox = log(x + 2x + 1) + -1log(x + 1)

Combine like terms: 1glo + 5glo = 6glo
6glo + glox + glox = log(x + 2x + 1) + -1log(x + 1)

Combine like terms: glox + glox = 2glox
6glo + 2glox = log(x + 2x + 1) + -1log(x + 1)

Reorder the terms:
6glo + 2glox = glo(1 + x + 2x) + -1log(x + 1)

Combine like terms: x + 2x = 3x
6glo + 2glox = glo(1 + 3x) + -1log(x + 1)
6glo + 2glox = (1 * glo + 3x * glo) + -1log(x + 1)
6glo + 2glox = (1glo + 3glox) + -1log(x + 1)

Reorder the terms:
6glo + 2glox = 1glo + 3glox + -1glo(1 + x)
6glo + 2glox = 1glo + 3glox + (1 * -1glo + x * -1glo)
6glo + 2glox = 1glo + 3glox + (-1glo + -1glox)

Reorder the terms:
6glo + 2glox = 1glo + -1glo + 3glox + -1glox

Combine like terms: 1glo + -1glo = 0
6glo + 2glox = 0 + 3glox + -1glox
6glo + 2glox = 3glox + -1glox

Combine like terms: 3glox + -1glox = 2glox
6glo + 2glox = 2glox

Add '-2glox' to each side of the equation.
6glo + 2glox + -2glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
6glo + 0 = 2glox + -2glox
6glo = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
6glo = 0

Solving
6glo = 0

Solving for variable 'g'.

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

Divide each side by '6'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.