log(3)(x-1)+log(9)(x-1)=3

Solution for log(3)(x-1)+log(9)(x-1)=3 equation:

Simplifying
log(3)(x + -1) + log(9)(x + -1) = 3

Reorder the terms:
glo * 3(-1 + x) + log(9)(x + -1) = 3

Reorder the terms for easier multiplication:
3glo(-1 + x) + log(9)(x + -1) = 3
(-1 * 3glo + x * 3glo) + log(9)(x + -1) = 3
(-3glo + 3glox) + log(9)(x + -1) = 3

Reorder the terms:
-3glo + 3glox + glo * 9(-1 + x) = 3

Reorder the terms for easier multiplication:
-3glo + 3glox + 9glo(-1 + x) = 3
-3glo + 3glox + (-1 * 9glo + x * 9glo) = 3
-3glo + 3glox + (-9glo + 9glox) = 3

Reorder the terms:
-3glo + -9glo + 3glox + 9glox = 3

Combine like terms: -3glo + -9glo = -12glo
-12glo + 3glox + 9glox = 3

Combine like terms: 3glox + 9glox = 12glox
-12glo + 12glox = 3

Solving
-12glo + 12glox = 3

Solving for variable 'g'.

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -4glo + 4glox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -4glo + 4glox)' equal to zero and attempt to solve:

Simplifying
-1 + -4glo + 4glox = 0

Solving
-1 + -4glo + 4glox = 0

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

Add '1' to each side of the equation.
-1 + -4glo + 1 + 4glox = 0 + 1

Reorder the terms:
-1 + 1 + -4glo + 4glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4glo + 4glox = 0 + 1
-4glo + 4glox = 0 + 1

Combine like terms: 0 + 1 = 1
-4glo + 4glox = 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.