log(6)(x+1)=log(6)3+2

Solution for log(6)(x+1)=log(6)3+2 equation:

Simplifying
log(6)(x + 1) = log(6) * 3 + 2

Reorder the terms:
glo * 6(1 + x) = log(6) * 3 + 2

Reorder the terms for easier multiplication:
6glo(1 + x) = log(6) * 3 + 2
(1 * 6glo + x * 6glo) = log(6) * 3 + 2
(6glo + 6glox) = log(6) * 3 + 2

Reorder the terms for easier multiplication:
6glo + 6glox = 6 * 3glo + 2

Multiply 6 * 3
6glo + 6glox = 18glo + 2

Reorder the terms:
6glo + 6glox = 2 + 18glo

Solving
6glo + 6glox = 2 + 18glo

Solving for variable 'g'.

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

Add '-18glo' to each side of the equation.
6glo + -18glo + 6glox = 2 + 18glo + -18glo

Combine like terms: 6glo + -18glo = -12glo
-12glo + 6glox = 2 + 18glo + -18glo

Combine like terms: 18glo + -18glo = 0
-12glo + 6glox = 2 + 0
-12glo + 6glox = 2

Reorder the terms:
-2 + -12glo + 6glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -12glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -6glo + 3glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -6glo + 3glox)' equal to zero and attempt to solve:

Simplifying
-1 + -6glo + 3glox = 0

Solving
-1 + -6glo + 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 + -6glo + 1 + 3glox = 0 + 1

Reorder the terms:
-1 + 1 + -6glo + 3glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6glo + 3glox = 0 + 1
-6glo + 3glox = 0 + 1

Combine like terms: 0 + 1 = 1
-6glo + 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.