Log(6)(x-2)+log(6)(x+4)=log(6)(x+4)

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Solution for Log(6)(x-2)+log(6)(x+4)=log(6)(x+4) equation:


Simplifying
Log(6)(x + -2) + log(6)(x + 4) = log(6)(x + 4)

Reorder the terms:
goL * 6(-2 + x) + log(6)(x + 4) = log(6)(x + 4)

Reorder the terms for easier multiplication:
6goL(-2 + x) + log(6)(x + 4) = log(6)(x + 4)
(-2 * 6goL + x * 6goL) + log(6)(x + 4) = log(6)(x + 4)
(-12goL + 6goxL) + log(6)(x + 4) = log(6)(x + 4)

Reorder the terms:
-12goL + 6goxL + glo * 6(4 + x) = log(6)(x + 4)

Reorder the terms for easier multiplication:
-12goL + 6goxL + 6glo(4 + x) = log(6)(x + 4)
-12goL + 6goxL + (4 * 6glo + x * 6glo) = log(6)(x + 4)
-12goL + 6goxL + (24glo + 6glox) = log(6)(x + 4)

Reorder the terms:
24glo + 6glox + -12goL + 6goxL = log(6)(x + 4)

Reorder the terms:
24glo + 6glox + -12goL + 6goxL = glo * 6(4 + x)

Reorder the terms for easier multiplication:
24glo + 6glox + -12goL + 6goxL = 6glo(4 + x)
24glo + 6glox + -12goL + 6goxL = (4 * 6glo + x * 6glo)
24glo + 6glox + -12goL + 6goxL = (24glo + 6glox)

Add '-24glo' to each side of the equation.
24glo + 6glox + -12goL + -24glo + 6goxL = 24glo + -24glo + 6glox

Reorder the terms:
24glo + -24glo + 6glox + -12goL + 6goxL = 24glo + -24glo + 6glox

Combine like terms: 24glo + -24glo = 0
0 + 6glox + -12goL + 6goxL = 24glo + -24glo + 6glox
6glox + -12goL + 6goxL = 24glo + -24glo + 6glox

Combine like terms: 24glo + -24glo = 0
6glox + -12goL + 6goxL = 0 + 6glox
6glox + -12goL + 6goxL = 6glox

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

Reorder the terms:
6glox + -6glox + -12goL + 6goxL = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
0 + -12goL + 6goxL = 6glox + -6glox
-12goL + 6goxL = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
-12goL + 6goxL = 0

Solving
-12goL + 6goxL = 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), '6goL'.
6goL(-2 + x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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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