8ln(x+19)-5ln(x)=

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Solution for 8ln(x+19)-5ln(x)= equation: 


Simplifying
8ln(x + 19) + -5ln(x) = 0

Reorder the terms:
8ln(19 + x) + -5ln(x) = 0
(19 * 8ln + x * 8ln) + -5ln(x) = 0
(152ln + 8lnx) + -5ln(x) = 0

Multiply ln * x
152ln + 8lnx + -5lnx = 0

Combine like terms: 8lnx + -5lnx = 3lnx
152ln + 3lnx = 0

Solving
152ln + 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), 'ln'.
ln(152 + 3x) = 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 '(152 + 3x)' equal to zero and attempt to solve:

Simplifying
152 + 3x = 0

Solving
152 + 3x = 0

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

Add '-152' to each side of the equation.
152 + -152 + 3x = 0 + -152

Combine like terms: 152 + -152 = 0
0 + 3x = 0 + -152
3x = 0 + -152

Combine like terms: 0 + -152 = -152
3x = -152

Add '-3x' to each side of the equation.
3x + -3x = -152 + -3x

Combine like terms: 3x + -3x = 0
0 = -152 + -3x

Simplifying
0 = -152 + -3x

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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