log[2](9x-13)+log[2](x+9)=2log[2](3x)

Solution for log[2](9x-13)+log[2](x+9)=2log[2](3x) equation:

Simplifying
log[2](9x + -13) + log[2](x + 9) = 2log[2](3x)

Reorder the terms:
glo * 2(-13 + 9x) + log[2](x + 9) = 2log[2](3x)

Reorder the terms for easier multiplication:
2glo(-13 + 9x) + log[2](x + 9) = 2log[2](3x)
(-13 * 2glo + 9x * 2glo) + log[2](x + 9) = 2log[2](3x)
(-26glo + 18glox) + log[2](x + 9) = 2log[2](3x)

Reorder the terms:
-26glo + 18glox + glo * 2(9 + x) = 2log[2](3x)

Reorder the terms for easier multiplication:
-26glo + 18glox + 2glo(9 + x) = 2log[2](3x)
-26glo + 18glox + (9 * 2glo + x * 2glo) = 2log[2](3x)
-26glo + 18glox + (18glo + 2glox) = 2log[2](3x)

Reorder the terms:
-26glo + 18glo + 18glox + 2glox = 2log[2](3x)

Combine like terms: -26glo + 18glo = -8glo
-8glo + 18glox + 2glox = 2log[2](3x)

Combine like terms: 18glox + 2glox = 20glox
-8glo + 20glox = 2log[2](3x)

Remove parenthesis around (3x)
-8glo + 20glox = 2glo * 2 * 3x

Reorder the terms for easier multiplication:
-8glo + 20glox = 2 * 2 * 3glo * x

Multiply 2 * 2
-8glo + 20glox = 4 * 3glo * x

Multiply 4 * 3
-8glo + 20glox = 12glo * x

Multiply glo * x
-8glo + 20glox = 12glox

Solving
-8glo + 20glox = 12glox

Solving for variable 'g'.

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

Add '-12glox' to each side of the equation.
-8glo + 20glox + -12glox = 12glox + -12glox

Combine like terms: 20glox + -12glox = 8glox
-8glo + 8glox = 12glox + -12glox

Combine like terms: 12glox + -12glox = 0
-8glo + 8glox = 0

Factor out the Greatest Common Factor (GCF), '8glo'.
8glo(-1 + x) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Add '-1x' to each side of the equation.
x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
0 = 1 + -1x

Simplifying
0 = 1 + -1x

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.