log(x-5)-log(x-4)=log(x-7)-log(x-3)

Solution for log(x-5)-log(x-4)=log(x-7)-log(x-3) equation:

Simplifying
log(x + -5) + -1log(x + -4) = log(x + -7) + -1log(x + -3)

Reorder the terms:
glo(-5 + x) + -1log(x + -4) = log(x + -7) + -1log(x + -3)
(-5 * glo + x * glo) + -1log(x + -4) = log(x + -7) + -1log(x + -3)
(-5glo + glox) + -1log(x + -4) = log(x + -7) + -1log(x + -3)

Reorder the terms:
-5glo + glox + -1glo(-4 + x) = log(x + -7) + -1log(x + -3)
-5glo + glox + (-4 * -1glo + x * -1glo) = log(x + -7) + -1log(x + -3)
-5glo + glox + (4glo + -1glox) = log(x + -7) + -1log(x + -3)

Reorder the terms:
-5glo + 4glo + glox + -1glox = log(x + -7) + -1log(x + -3)

Combine like terms: -5glo + 4glo = -1glo
-1glo + glox + -1glox = log(x + -7) + -1log(x + -3)

Combine like terms: glox + -1glox = 0
-1glo + 0 = log(x + -7) + -1log(x + -3)
-1glo = log(x + -7) + -1log(x + -3)

Reorder the terms:
-1glo = glo(-7 + x) + -1log(x + -3)
-1glo = (-7 * glo + x * glo) + -1log(x + -3)
-1glo = (-7glo + glox) + -1log(x + -3)

Reorder the terms:
-1glo = -7glo + glox + -1glo(-3 + x)
-1glo = -7glo + glox + (-3 * -1glo + x * -1glo)
-1glo = -7glo + glox + (3glo + -1glox)

Reorder the terms:
-1glo = -7glo + 3glo + glox + -1glox

Combine like terms: -7glo + 3glo = -4glo
-1glo = -4glo + glox + -1glox

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

Solving
-1glo = -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.
-1glo + 4glo = -4glo + 4glo

Combine like terms: -1glo + 4glo = 3glo
3glo = -4glo + 4glo

Combine like terms: -4glo + 4glo = 0
3glo = 0

Divide each side by '3'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.