0=log(x-1)

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Solution for 0=log(x-1) equation:


Simplifying
0 = log(x + -1)

Reorder the terms:
0 = glo(-1 + x)
0 = (-1 * glo + x * glo)
0 = (-1glo + glox)

Solving
0 = -1glo + glox

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
0 + glo = -1glo + glo + glox
Remove the zero:
glo = -1glo + glo + glox

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

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(1 + -1x) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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