log(6)(3-x)=2

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

Simplifying
log(6)(3 + -1x) = 2

Reorder the terms for easier multiplication:
6glo(3 + -1x) = 2
(3 * 6glo + -1x * 6glo) = 2
(18glo + -6glox) = 2

Solving
18glo + -6glox = 2

Solving for variable 'g'.

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

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

Combine like terms: 2 + -2 = 0
-2 + 18glo + -6glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 9glo + -3glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 9glo + -3glox)' equal to zero and attempt to solve:

Simplifying
-1 + 9glo + -3glox = 0

Solving
-1 + 9glo + -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 + 9glo + 1 + -3glox = 0 + 1

Reorder the terms:
-1 + 1 + 9glo + -3glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9glo + -3glox = 0 + 1
9glo + -3glox = 0 + 1

Combine like terms: 0 + 1 = 1
9glo + -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.