2ln(x+9)+3ln(5x+6)=

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Solution for 2ln(x+9)+3ln(5x+6)= equation: 


Simplifying
2ln(x + 9) + 3ln(5x + 6) = 0

Reorder the terms:
2ln(9 + x) + 3ln(5x + 6) = 0
(9 * 2ln + x * 2ln) + 3ln(5x + 6) = 0
(18ln + 2lnx) + 3ln(5x + 6) = 0

Reorder the terms:
18ln + 2lnx + 3ln(6 + 5x) = 0
18ln + 2lnx + (6 * 3ln + 5x * 3ln) = 0
18ln + 2lnx + (18ln + 15lnx) = 0

Reorder the terms:
18ln + 18ln + 2lnx + 15lnx = 0

Combine like terms: 18ln + 18ln = 36ln
36ln + 2lnx + 15lnx = 0

Combine like terms: 2lnx + 15lnx = 17lnx
36ln + 17lnx = 0

Solving
36ln + 17lnx = 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(36 + 17x) = 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 '(36 + 17x)' equal to zero and attempt to solve:

Simplifying
36 + 17x = 0

Solving
36 + 17x = 0

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

Add '-36' to each side of the equation.
36 + -36 + 17x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 17x = 0 + -36
17x = 0 + -36

Combine like terms: 0 + -36 = -36
17x = -36

Add '-17x' to each side of the equation.
17x + -17x = -36 + -17x

Combine like terms: 17x + -17x = 0
0 = -36 + -17x

Simplifying
0 = -36 + -17x

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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