log(3)*(x-2)+log(3)*(x+6)=2

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Solution for log(3)*(x-2)+log(3)*(x+6)=2 equation: 


Simplifying
log(3)(x + -2) + log(3)(x + 6) = 2

Reorder the terms:
glo * 3(-2 + x) + log(3)(x + 6) = 2

Reorder the terms for easier multiplication:
3glo(-2 + x) + log(3)(x + 6) = 2
(-2 * 3glo + x * 3glo) + log(3)(x + 6) = 2
(-6glo + 3glox) + log(3)(x + 6) = 2

Reorder the terms:
-6glo + 3glox + glo * 3(6 + x) = 2

Reorder the terms for easier multiplication:
-6glo + 3glox + 3glo(6 + x) = 2
-6glo + 3glox + (6 * 3glo + x * 3glo) = 2
-6glo + 3glox + (18glo + 3glox) = 2

Reorder the terms:
-6glo + 18glo + 3glox + 3glox = 2

Combine like terms: -6glo + 18glo = 12glo
12glo + 3glox + 3glox = 2

Combine like terms: 3glox + 3glox = 6glox
12glo + 6glox = 2

Solving
12glo + 6glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 12glo + 6glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 12glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6glo + 3glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 6glo + 3glox)' equal to zero and attempt to solve:

Simplifying
-1 + 6glo + 3glox = 0

Solving
-1 + 6glo + 3glox = 0

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

Add '1' to each side of the equation.
-1 + 6glo + 1 + 3glox = 0 + 1

Reorder the terms:
-1 + 1 + 6glo + 3glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6glo + 3glox = 0 + 1
6glo + 3glox = 0 + 1

Combine like terms: 0 + 1 = 1
6glo + 3glox = 1

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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