Log(4)(x-1)+log(4)3=2

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Solution for Log(4)(x-1)+log(4)3=2 equation: 


Simplifying
Log(4)(x + -1) + log(4) * 3 = 2

Reorder the terms:
goL * 4(-1 + x) + log(4) * 3 = 2

Reorder the terms for easier multiplication:
4goL(-1 + x) + log(4) * 3 = 2
(-1 * 4goL + x * 4goL) + log(4) * 3 = 2
(-4goL + 4goxL) + log(4) * 3 = 2

Reorder the terms for easier multiplication:
-4goL + 4goxL + 4 * 3glo = 2

Multiply 4 * 3
-4goL + 4goxL + 12glo = 2

Reorder the terms:
12glo + -4goL + 4goxL = 2

Solving
12glo + -4goL + 4goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 12glo + -4goL + 4goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 12glo + -4goL + 4goxL = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 6glo + -2goL + 2goxL)' equal to zero and attempt to solve:

Simplifying
-1 + 6glo + -2goL + 2goxL = 0

Solving
-1 + 6glo + -2goL + 2goxL = 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 + -2goL + 1 + 2goxL = 0 + 1

Reorder the terms:
-1 + 1 + 6glo + -2goL + 2goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6glo + -2goL + 2goxL = 0 + 1
6glo + -2goL + 2goxL = 0 + 1

Combine like terms: 0 + 1 = 1
6glo + -2goL + 2goxL = 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.

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