log(5+12x)=log(6x-1)

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Solution for log(5+12x)=log(6x-1) equation:


Simplifying
log(5 + 12x) = log(6x + -1)
(5 * glo + 12x * glo) = log(6x + -1)
(5glo + 12glox) = log(6x + -1)

Reorder the terms:
5glo + 12glox = glo(-1 + 6x)
5glo + 12glox = (-1 * glo + 6x * glo)
5glo + 12glox = (-1glo + 6glox)

Solving
5glo + 12glox = -1glo + 6glox

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.
5glo + glo + 12glox = -1glo + glo + 6glox

Combine like terms: 5glo + glo = 6glo
6glo + 12glox = -1glo + glo + 6glox

Combine like terms: -1glo + glo = 0
6glo + 12glox = 0 + 6glox
6glo + 12glox = 6glox

Add '-6glox' to each side of the equation.
6glo + 12glox + -6glox = 6glox + -6glox

Combine like terms: 12glox + -6glox = 6glox
6glo + 6glox = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
6glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '6glo'.
6glo(1 + x) = 0

Ignore the factor 6.

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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -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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