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

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


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

Reorder the terms:
(9ln(5 + x)) + -5ln(x) = 0
((5 * 9ln + x * 9ln)) + -5ln(x) = 0
((45ln + 9lnx)) + -5ln(x) = 0
(45ln + 9lnx) + -5ln(x) = 0

Remove parenthesis around (45ln + 9lnx)
45ln + 9lnx + -5ln(x) = 0

Multiply ln * x
45ln + 9lnx + -5lnx = 0

Combine like terms: 9lnx + -5lnx = 4lnx
45ln + 4lnx = 0

Solving
45ln + 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), 'ln'.
ln(45 + 4x) = 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 '(45 + 4x)' equal to zero and attempt to solve:

Simplifying
45 + 4x = 0

Solving
45 + 4x = 0

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

Add '-45' to each side of the equation.
45 + -45 + 4x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 4x = 0 + -45
4x = 0 + -45

Combine like terms: 0 + -45 = -45
4x = -45

Add '-4x' to each side of the equation.
4x + -4x = -45 + -4x

Combine like terms: 4x + -4x = 0
0 = -45 + -4x

Simplifying
0 = -45 + -4x

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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