lnx=0.5lny

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Solution for lnx=0.5lny equation: 


Simplifying
lnx = 0.5lny

Solving
lnx = 0.5lny

Solving for variable 'l'.

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

Add '-0.5lny' to each side of the equation.
lnx + -0.5lny = 0.5lny + -0.5lny

Combine like terms: 0.5lny + -0.5lny = 0.0
lnx + -0.5lny = 0.0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(x + -0.5y) = 0.0


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 '(x + -0.5y)' equal to zero and attempt to solve:

Simplifying
x + -0.5y = 0

Solving
x + -0.5y = 0

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

Add '-1x' to each side of the equation.
x + -1x + -0.5y = 0 + -1x

Combine like terms: x + -1x = 0
0 + -0.5y = 0 + -1x
-0.5y = 0 + -1x
Remove the zero:
-0.5y = -1x

Add '0.5y' to each side of the equation.
-0.5y + 0.5y = -1x + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
0.0 = -1x + 0.5y

Simplifying
0.0 = -1x + 0.5y

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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