Log(2)(6x-6)=3

Solution for Log(2)(6x-6)=3 equation:

Simplifying
Log(2)(6x + -6) = 3

Reorder the terms:
goL * 2(-6 + 6x) = 3

Reorder the terms for easier multiplication:
2goL(-6 + 6x) = 3
(-6 * 2goL + 6x * 2goL) = 3
(-12goL + 12goxL) = 3

Solving
-12goL + 12goxL = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -12goL + 12goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -12goL + 12goxL = 0

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

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

Simplifying
-1 + -4goL + 4goxL = 0

Solving
-1 + -4goL + 4goxL = 0

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

Add '1' to each side of the equation.
-1 + -4goL + 1 + 4goxL = 0 + 1

Reorder the terms:
-1 + 1 + -4goL + 4goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4goL + 4goxL = 0 + 1
-4goL + 4goxL = 0 + 1

Combine like terms: 0 + 1 = 1
-4goL + 4goxL = 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.