8lnx+5lny=ln

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Solution for 8lnx+5lny=ln equation: 


Simplifying
8lnx + 5lny = ln

Solving
8lnx + 5lny = ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
8lnx + -1ln + 5lny = ln + -1ln

Reorder the terms:
-1ln + 8lnx + 5lny = ln + -1ln

Combine like terms: ln + -1ln = 0
-1ln + 8lnx + 5lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 8x + 5y) = 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 '(-1 + 8x + 5y)' equal to zero and attempt to solve:

Simplifying
-1 + 8x + 5y = 0

Solving
-1 + 8x + 5y = 0

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

Add '1' to each side of the equation.
-1 + 8x + 1 + 5y = 0 + 1

Reorder the terms:
-1 + 1 + 8x + 5y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x + 5y = 0 + 1
8x + 5y = 0 + 1

Combine like terms: 0 + 1 = 1
8x + 5y = 1

Add '-8x' to each side of the equation.
8x + -8x + 5y = 1 + -8x

Combine like terms: 8x + -8x = 0
0 + 5y = 1 + -8x
5y = 1 + -8x

Add '-5y' to each side of the equation.
5y + -5y = 1 + -8x + -5y

Combine like terms: 5y + -5y = 0
0 = 1 + -8x + -5y

Simplifying
0 = 1 + -8x + -5y

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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