log(x-5)=g(x)

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


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

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

Multiply g * x
-5glo + glox = gx

Solving
-5glo + glox = gx

Solving for variable 'g'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
0 = 5lo + -1lox + x

The solution to this equation could not be determined.

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

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