ln(1-3x)+C=ln(x)+C

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Solution for ln(1-3x)+C=ln(x)+C equation: 


Simplifying
ln(1 + -3x) + C = ln(x) + C
(1 * ln + -3x * ln) + C = ln(x) + C
(1ln + -3lnx) + C = ln(x) + C

Reorder the terms:
C + 1ln + -3lnx = ln(x) + C

Multiply ln * x
C + 1ln + -3lnx = lnx + C

Reorder the terms:
C + 1ln + -3lnx = C + lnx

Add '-1C' to each side of the equation.
C + 1ln + -1C + -3lnx = C + -1C + lnx

Reorder the terms:
C + -1C + 1ln + -3lnx = C + -1C + lnx

Combine like terms: C + -1C = 0
0 + 1ln + -3lnx = C + -1C + lnx
1ln + -3lnx = C + -1C + lnx

Combine like terms: C + -1C = 0
1ln + -3lnx = 0 + lnx
1ln + -3lnx = lnx

Solving
1ln + -3lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
1ln + -3lnx + -1lnx = lnx + -1lnx

Combine like terms: -3lnx + -1lnx = -4lnx
1ln + -4lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
1ln + -4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(1 + -4x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Add '4x' to each side of the equation.
-4x + 4x = -1 + 4x

Combine like terms: -4x + 4x = 0
0 = -1 + 4x

Simplifying
0 = -1 + 4x

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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