5ln(x+3)-3ln(x)=

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Solution for 5ln(x+3)-3ln(x)= equation: 


Simplifying
5ln(x + 3) + -3ln(x) = 0

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

Multiply ln * x
15ln + 5lnx + -3lnx = 0

Combine like terms: 5lnx + -3lnx = 2lnx
15ln + 2lnx = 0

Solving
15ln + 2lnx = 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(15 + 2x) = 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 '(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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