5ln(x+6)-9lnx=0

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Solution for 5ln(x+6)-9lnx=0 equation: 


Simplifying
5ln(x + 6) + -9lnx = 0

Reorder the terms:
5ln(6 + x) + -9lnx = 0
(6 * 5ln + x * 5ln) + -9lnx = 0
(30ln + 5lnx) + -9lnx = 0

Combine like terms: 5lnx + -9lnx = -4lnx
30ln + -4lnx = 0

Solving
30ln + -4lnx = 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), '2ln'.
2ln(15 + -2x) = 0

Ignore the factor 2.

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 '(15 + -2x)' equal to zero and attempt to solve:

Simplifying
15 + -2x = 0

Solving
15 + -2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Add '2x' to each side of the equation.
-2x + 2x = -15 + 2x

Combine like terms: -2x + 2x = 0
0 = -15 + 2x

Simplifying
0 = -15 + 2x

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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