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

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Solution for log(x+3)-log(2x-1)=0 equation:


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

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

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

Reorder the terms:
3glo + 1glo + glox + -2glox = 0

Combine like terms: 3glo + 1glo = 4glo
4glo + glox + -2glox = 0

Combine like terms: glox + -2glox = -1glox
4glo + -1glox = 0

Solving
4glo + -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(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + 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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