3log(4x-4)+8=20

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Solution for 3log(4x-4)+8=20 equation: 


Simplifying
3log(4x + -4) + 8 = 20

Reorder the terms:
3glo(-4 + 4x) + 8 = 20
(-4 * 3glo + 4x * 3glo) + 8 = 20
(-12glo + 12glox) + 8 = 20

Reorder the terms:
8 + -12glo + 12glox = 20

Solving
8 + -12glo + 12glox = 20

Solving for variable 'g'.

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

Add '-8' to each side of the equation.
8 + -12glo + -8 + 12glox = 20 + -8

Reorder the terms:
8 + -8 + -12glo + 12glox = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -12glo + 12glox = 20 + -8
-12glo + 12glox = 20 + -8

Combine like terms: 20 + -8 = 12
-12glo + 12glox = 12

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

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

Factor out the Greatest Common Factor (GCF), '12'.
12(-1 + -1glo + glox) = 0

Ignore the factor 12.

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

Simplifying
-1 + -1glo + glox = 0

Solving
-1 + -1glo + glox = 0

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

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

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

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

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