Log(4x+12)=3logx

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Solution for Log(4x+12)=3logx equation: 


Simplifying
Log(4x + 12) = 3logx

Reorder the terms:
goL(12 + 4x) = 3logx
(12 * goL + 4x * goL) = 3logx
(12goL + 4goxL) = 3logx

Solving
12goL + 4goxL = 3glox

Solving for variable 'g'.

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

Add '-3glox' to each side of the equation.
12goL + -3glox + 4goxL = 3glox + -3glox

Reorder the terms:
-3glox + 12goL + 4goxL = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-3glox + 12goL + 4goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-3lx + 12L + 4xL) = 0


Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3lx + 12L + 4xL)' equal to zero and attempt to solve:

Simplifying
-3lx + 12L + 4xL = 0

Reorder the terms:
12L + -3lx + 4xL = 0

Solving
12L + -3lx + 4xL = 0

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

Add '-12L' to each side of the equation.
12L + -3lx + -12L + 4xL = 0 + -12L

Reorder the terms:
12L + -12L + -3lx + 4xL = 0 + -12L

Combine like terms: 12L + -12L = 0
0 + -3lx + 4xL = 0 + -12L
-3lx + 4xL = 0 + -12L
Remove the zero:
-3lx + 4xL = -12L

Add '3lx' to each side of the equation.
-3lx + 3lx + 4xL = -12L + 3lx

Combine like terms: -3lx + 3lx = 0
0 + 4xL = -12L + 3lx
4xL = -12L + 3lx

Add '-4xL' to each side of the equation.
4xL + -4xL = -12L + 3lx + -4xL

Combine like terms: 4xL + -4xL = 0
0 = -12L + 3lx + -4xL

Simplifying
0 = -12L + 3lx + -4xL

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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