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

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

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

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

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

Reorder the terms:
-5glo + glox = 1 + -2glo + glox

Add '-1glox' to each side of the equation.
-5glo + glox + -1glox = 1 + -2glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-5glo + 0 = 1 + -2glo + glox + -1glox
-5glo = 1 + -2glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-5glo = 1 + -2glo + 0
-5glo = 1 + -2glo

Solving
-5glo = 1 + -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.
-5glo + 2glo = 1 + -2glo + 2glo

Combine like terms: -5glo + 2glo = -3glo
-3glo = 1 + -2glo + 2glo

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

Divide each side by '-3lo'.
g = -0.3333333333l-1o-1

Simplifying
g = -0.3333333333l-1o-1