log*3(2x-9)=3

Solution for log*3(2x-9)=3 equation:

Simplifying
log * 3(2x + -9) = 3

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

Reorder the terms for easier multiplication:
3glo(-9 + 2x) = 3
(-9 * 3glo + 2x * 3glo) = 3
(-27glo + 6glox) = 3

Solving
-27glo + 6glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -27glo + 6glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -27glo + 6glox = 0

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

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

Simplifying
-1 + -9glo + 2glox = 0

Solving
-1 + -9glo + 2glox = 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 + 2glox = 0 + 1

Reorder the terms:
-1 + 1 + -9glo + 2glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9glo + 2glox = 0 + 1
-9glo + 2glox = 0 + 1

Combine like terms: 0 + 1 = 1
-9glo + 2glox = 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.