5*ln(x+3)-2*ln(x)=

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Solution for 5*ln(x+3)-2*ln(x)= equation: 


Simplifying
5ln(x + 3) + -2ln(x) = 0

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

Multiply ln * x
15ln + 5lnx + -2lnx = 0

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

Solving
15ln + 3lnx = 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), '3ln'.
3ln(5 + x) = 0

Ignore the factor 3.

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 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Add '-1x' to each side of the equation.
x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
0 = -5 + -1x

Simplifying
0 = -5 + -1x

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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