log[2](9x+18)=3

Solution for log[2](9x+18)=3 equation:

Simplifying
log[2](9x + 18) = 3

Reorder the terms:
glo * 2(18 + 9x) = 3

Reorder the terms for easier multiplication:
2glo(18 + 9x) = 3
(18 * 2glo + 9x * 2glo) = 3
(36glo + 18glox) = 3

Solving
36glo + 18glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 36glo + 18glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 36glo + 18glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 12glo + 6glox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 12glo + 6glox)' equal to zero and attempt to solve:

Simplifying
-1 + 12glo + 6glox = 0

Solving
-1 + 12glo + 6glox = 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 + 6glox = 0 + 1

Reorder the terms:
-1 + 1 + 12glo + 6glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12glo + 6glox = 0 + 1
12glo + 6glox = 0 + 1

Combine like terms: 0 + 1 = 1
12glo + 6glox = 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.