gx=log(x-5)

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


Simplifying
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}

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