log(3)(x+8)-log(3)(2)=3

Solution for log(3)(x+8)-log(3)(2)=3 equation:

Simplifying
log(3)(x + 8) + -1log(3)(2) = 3

Reorder the terms:
glo * 3(8 + x) + -1log(3)(2) = 3

Reorder the terms for easier multiplication:
3glo(8 + x) + -1log(3)(2) = 3
(8 * 3glo + x * 3glo) + -1log(3)(2) = 3
(24glo + 3glox) + -1log(3)(2) = 3

Reorder the terms for easier multiplication:
24glo + 3glox + -1 * 3 * 2glo = 3

Multiply -1 * 3
24glo + 3glox + -3 * 2glo = 3

Multiply -3 * 2
24glo + 3glox + -6glo = 3

Reorder the terms:
24glo + -6glo + 3glox = 3

Combine like terms: 24glo + -6glo = 18glo
18glo + 3glox = 3

Solving
18glo + 3glox = 3

Solving for variable 'g'.

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

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

Combine like terms: 3 + -3 = 0
-3 + 18glo + 3glox = 0

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

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

Simplifying
-1 + 6glo + glox = 0

Solving
-1 + 6glo + glox = 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 + glox = 0 + 1

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

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

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