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

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


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

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

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

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

Solving
3ln + -13lnx = 4ln

Solving for variable 'l'.

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

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

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

Combine like terms: 4ln + -4ln = 0
-1ln + -13lnx = 0

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(1 + 13x) = 0

Ignore the factor -1.

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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