3log(4x-2)+10=

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Solution for 3log(4x-2)+10= equation: 


Simplifying
3log(4x + -2) + 10 = 0

Reorder the terms:
3glo(-2 + 4x) + 10 = 0
(-2 * 3glo + 4x * 3glo) + 10 = 0
(-6glo + 12glox) + 10 = 0

Reorder the terms:
10 + -6glo + 12glox = 0

Solving
10 + -6glo + 12glox = 0

Solving for variable 'g'.

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

Add '-10' to each side of the equation.
10 + -6glo + -10 + 12glox = 0 + -10

Reorder the terms:
10 + -10 + -6glo + 12glox = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6glo + 12glox = 0 + -10
-6glo + 12glox = 0 + -10

Combine like terms: 0 + -10 = -10
-6glo + 12glox = -10

Reorder the terms:
10 + -6glo + 12glox = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -6glo + 12glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -3glo + 6glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -3glo + 6glox)' equal to zero and attempt to solve:

Simplifying
5 + -3glo + 6glox = 0

Solving
5 + -3glo + 6glox = 0

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

Add '-5' to each side of the equation.
5 + -3glo + -5 + 6glox = 0 + -5

Reorder the terms:
5 + -5 + -3glo + 6glox = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3glo + 6glox = 0 + -5
-3glo + 6glox = 0 + -5

Combine like terms: 0 + -5 = -5
-3glo + 6glox = -5

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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