ln(12-9x)-2lnx=3ln

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Solution for ln(12-9x)-2lnx=3ln equation: 


Simplifying
ln(12 + -9x) + -2lnx = 3ln
(12 * ln + -9x * ln) + -2lnx = 3ln
(12ln + -9lnx) + -2lnx = 3ln

Combine like terms: -9lnx + -2lnx = -11lnx
12ln + -11lnx = 3ln

Solving
12ln + -11lnx = 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.
12ln + -3ln + -11lnx = 3ln + -3ln

Combine like terms: 12ln + -3ln = 9ln
9ln + -11lnx = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
9ln + -11lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(9 + -11x) = 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 '(9 + -11x)' equal to zero and attempt to solve:

Simplifying
9 + -11x = 0

Solving
9 + -11x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -11x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = 0 + -9
-11x = 0 + -9

Combine like terms: 0 + -9 = -9
-11x = -9

Add '11x' to each side of the equation.
-11x + 11x = -9 + 11x

Combine like terms: -11x + 11x = 0
0 = -9 + 11x

Simplifying
0 = -9 + 11x

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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