ln(9-9x)-2ln(x)=ln(4)

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Solution for ln(9-9x)-2ln(x)=ln(4) equation: 


Simplifying
ln(9 + -9x) + -2ln(x) = ln(4)
(9 * ln + -9x * ln) + -2ln(x) = ln(4)
(9ln + -9lnx) + -2ln(x) = ln(4)

Multiply ln * x
9ln + -9lnx + -2lnx = ln(4)

Combine like terms: -9lnx + -2lnx = -11lnx
9ln + -11lnx = ln(4)

Reorder the terms for easier multiplication:
9ln + -11lnx = 4ln

Solving
9ln + -11lnx = 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.
9ln + -4ln + -11lnx = 4ln + -4ln

Combine like terms: 9ln + -4ln = 5ln
5ln + -11lnx = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
5ln + -11lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + -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 '(5 + -11x)' equal to zero and attempt to solve:

Simplifying
5 + -11x = 0

Solving
5 + -11x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -11x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 0 + -5
-11x = 0 + -5

Combine like terms: 0 + -5 = -5
-11x = -5

Add '11x' to each side of the equation.
-11x + 11x = -5 + 11x

Combine like terms: -11x + 11x = 0
0 = -5 + 11x

Simplifying
0 = -5 + 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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