9ln(x+2)-4ln(x)=0

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Solution for 9ln(x+2)-4ln(x)=0 equation: 


Simplifying
9ln(x + 2) + -4ln(x) = 0

Reorder the terms:
9ln(2 + x) + -4ln(x) = 0
(2 * 9ln + x * 9ln) + -4ln(x) = 0
(18ln + 9lnx) + -4ln(x) = 0

Multiply ln * x
18ln + 9lnx + -4lnx = 0

Combine like terms: 9lnx + -4lnx = 5lnx
18ln + 5lnx = 0

Solving
18ln + 5lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(18 + 5x) = 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 '(18 + 5x)' equal to zero and attempt to solve:

Simplifying
18 + 5x = 0

Solving
18 + 5x = 0

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

Add '-18' to each side of the equation.
18 + -18 + 5x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 0 + -18
5x = 0 + -18

Combine like terms: 0 + -18 = -18
5x = -18

Add '-5x' to each side of the equation.
5x + -5x = -18 + -5x

Combine like terms: 5x + -5x = 0
0 = -18 + -5x

Simplifying
0 = -18 + -5x

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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