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}