log(x-5)=g(f)

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

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

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

Multiply g * f
-5glo + glox = fg

Solving
-5glo + glox = fg

Solving for variable 'g'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'g'.
g(-1f + -5lo + lox) = 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 '(-1f + -5lo + lox)' equal to zero and attempt to solve:

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

Solving
-1f + -5lo + lox = 0

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

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

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

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

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

Combine like terms: -5lo + 5lo = 0
0 + lox = f + 5lo
lox = f + 5lo

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

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

Simplifying
0 = f + 5lo + -1lox

The solution to this equation could not be determined.

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