3log(x)-2log(x-1)=

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Solution for 3log(x)-2log(x-1)= equation:


Simplifying
3log(x) + -2log(x + -1) = 0

Multiply glo * x
3glox + -2log(x + -1) = 0

Reorder the terms:
3glox + -2glo(-1 + x) = 0
3glox + (-1 * -2glo + x * -2glo) = 0
3glox + (2glo + -2glox) = 0

Reorder the terms:
2glo + 3glox + -2glox = 0

Combine like terms: 3glox + -2glox = 1glox
2glo + 1glox = 0

Solving
2glo + 1glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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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