g(x)=log(x-5)

Solution for g(x)=log(x-5) equation:

Simplifying
g(x) = log(x + -5)

Multiply g * x
gx = log(x + -5)

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

Solving
gx = -5glo + glox

Solving for variable 'g'.

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

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

Combine like terms: -5glo + 5glo = 0
5glo + gx = 0 + glox
5glo + gx = glox

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

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

Factor out the Greatest Common Factor (GCF), 'g'.
g(5lo + -1lox + x) = 0

Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(5lo + -1lox + x)' equal to zero and attempt to solve:

Simplifying
5lo + -1lox + x = 0

Solving
5lo + -1lox + x = 0

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

Add '-5lo' to each side of the equation.
5lo + -1lox + -5lo + x = 0 + -5lo

Reorder the terms:
5lo + -5lo + -1lox + x = 0 + -5lo

Combine like terms: 5lo + -5lo = 0
0 + -1lox + x = 0 + -5lo
-1lox + x = 0 + -5lo
Remove the zero:
-1lox + x = -5lo

Add 'lox' to each side of the equation.
-1lox + lox + x = -5lo + lox

Combine like terms: -1lox + lox = 0
0 + x = -5lo + lox
x = -5lo + lox

Add '-1x' to each side of the equation.
x + -1x = -5lo + lox + -1x

Combine like terms: x + -1x = 0
0 = -5lo + lox + -1x

Simplifying
0 = -5lo + lox + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}