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

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


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

Reorder the terms:
8ln(5 + x) + -5ln(x) = 0
(5 * 8ln + x * 8ln) + -5ln(x) = 0
(40ln + 8lnx) + -5ln(x) = 0

Multiply ln * x
40ln + 8lnx + -5lnx = 0

Combine like terms: 8lnx + -5lnx = 3lnx
40ln + 3lnx = 0

Solving
40ln + 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(40 + 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 '(40 + 3x)' equal to zero and attempt to solve:

Simplifying
40 + 3x = 0

Solving
40 + 3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + 3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 0 + -40
3x = 0 + -40

Combine like terms: 0 + -40 = -40
3x = -40

Add '-3x' to each side of the equation.
3x + -3x = -40 + -3x

Combine like terms: 3x + -3x = 0
0 = -40 + -3x

Simplifying
0 = -40 + -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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