log[3]x+log[3](x+8)=2

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

Simplifying
log[3] * x + log[3](x + 8) = 2

Reorder the terms for easier multiplication:
3glo * x + log[3](x + 8) = 2

Multiply glo * x
3glox + log[3](x + 8) = 2

Reorder the terms:
3glox + glo * 3(8 + x) = 2

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

Reorder the terms:
24glo + 3glox + 3glox = 2

Combine like terms: 3glox + 3glox = 6glox
24glo + 6glox = 2

Solving
24glo + 6glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 24glo + 6glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 24glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 12glo + 3glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 12glo + 3glox)' equal to zero and attempt to solve:

Simplifying
-1 + 12glo + 3glox = 0

Solving
-1 + 12glo + 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 + 12glo + 1 + 3glox = 0 + 1

Reorder the terms:
-1 + 1 + 12glo + 3glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12glo + 3glox = 0 + 1
12glo + 3glox = 0 + 1

Combine like terms: 0 + 1 = 1
12glo + 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.