log(x-1)+log(x-2)=log(x-4)+log(x-6)

Solution for log(x-1)+log(x-2)=log(x-4)+log(x-6) equation:

Simplifying
log(x + -1) + log(x + -2) = log(x + -4) + log(x + -6)

Reorder the terms:
glo(-1 + x) + log(x + -2) = log(x + -4) + log(x + -6)
(-1 * glo + x * glo) + log(x + -2) = log(x + -4) + log(x + -6)
(-1glo + glox) + log(x + -2) = log(x + -4) + log(x + -6)

Reorder the terms:
-1glo + glox + glo(-2 + x) = log(x + -4) + log(x + -6)
-1glo + glox + (-2 * glo + x * glo) = log(x + -4) + log(x + -6)
-1glo + glox + (-2glo + glox) = log(x + -4) + log(x + -6)

Reorder the terms:
-1glo + -2glo + glox + glox = log(x + -4) + log(x + -6)

Combine like terms: -1glo + -2glo = -3glo
-3glo + glox + glox = log(x + -4) + log(x + -6)

Combine like terms: glox + glox = 2glox
-3glo + 2glox = log(x + -4) + log(x + -6)

Reorder the terms:
-3glo + 2glox = glo(-4 + x) + log(x + -6)
-3glo + 2glox = (-4 * glo + x * glo) + log(x + -6)
-3glo + 2glox = (-4glo + glox) + log(x + -6)

Reorder the terms:
-3glo + 2glox = -4glo + glox + glo(-6 + x)
-3glo + 2glox = -4glo + glox + (-6 * glo + x * glo)
-3glo + 2glox = -4glo + glox + (-6glo + glox)

Reorder the terms:
-3glo + 2glox = -4glo + -6glo + glox + glox

Combine like terms: -4glo + -6glo = -10glo
-3glo + 2glox = -10glo + glox + glox

Combine like terms: glox + glox = 2glox
-3glo + 2glox = -10glo + 2glox

Add '-2glox' to each side of the equation.
-3glo + 2glox + -2glox = -10glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-3glo + 0 = -10glo + 2glox + -2glox
-3glo = -10glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-3glo = -10glo + 0
-3glo = -10glo

Solving
-3glo = -10glo

Solving for variable 'g'.

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

Add '10glo' to each side of the equation.
-3glo + 10glo = -10glo + 10glo

Combine like terms: -3glo + 10glo = 7glo
7glo = -10glo + 10glo

Combine like terms: -10glo + 10glo = 0
7glo = 0

Divide each side by '7'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.