ln(4-11x)-2ln(x)=ln(3)

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Solution for ln(4-11x)-2ln(x)=ln(3) equation: 


Simplifying
ln(4 + -11x) + -2ln(x) = ln(3)
(4 * ln + -11x * ln) + -2ln(x) = ln(3)
(4ln + -11lnx) + -2ln(x) = ln(3)

Multiply ln * x
4ln + -11lnx + -2lnx = ln(3)

Combine like terms: -11lnx + -2lnx = -13lnx
4ln + -13lnx = ln(3)

Reorder the terms for easier multiplication:
4ln + -13lnx = 3ln

Solving
4ln + -13lnx = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
4ln + -3ln + -13lnx = 3ln + -3ln

Combine like terms: 4ln + -3ln = 1ln
1ln + -13lnx = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
1ln + -13lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(1 + -13x) = 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 + -13x)' equal to zero and attempt to solve:

Simplifying
1 + -13x = 0

Solving
1 + -13x = 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 + -13x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -13x = 0 + -1
-13x = 0 + -1

Combine like terms: 0 + -1 = -1
-13x = -1

Add '13x' to each side of the equation.
-13x + 13x = -1 + 13x

Combine like terms: -13x + 13x = 0
0 = -1 + 13x

Simplifying
0 = -1 + 13x

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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