8ln(x+2)=5lnx

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Solution for 8ln(x+2)=5lnx equation: 


Simplifying
8ln(x + 2) = 5lnx

Reorder the terms:
8ln(2 + x) = 5lnx
(2 * 8ln + x * 8ln) = 5lnx
(16ln + 8lnx) = 5lnx

Solving
16ln + 8lnx = 5lnx

Solving for variable 'l'.

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

Add '-5lnx' to each side of the equation.
16ln + 8lnx + -5lnx = 5lnx + -5lnx

Combine like terms: 8lnx + -5lnx = 3lnx
16ln + 3lnx = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
16ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(16 + 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 '(16 + 3x)' equal to zero and attempt to solve:

Simplifying
16 + 3x = 0

Solving
16 + 3x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 0 + -16
3x = 0 + -16

Combine like terms: 0 + -16 = -16
3x = -16

Add '-3x' to each side of the equation.
3x + -3x = -16 + -3x

Combine like terms: 3x + -3x = 0
0 = -16 + -3x

Simplifying
0 = -16 + -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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