Ln(2y)=lnx

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Solution for Ln(2y)=lnx equation: 


Simplifying
Ln(2y) = lnx

Remove parenthesis around (2y)
nL * 2y = lnx

Reorder the terms for easier multiplication:
2nL * y = lnx

Multiply nL * y
2nyL = lnx

Solving
2nyL = lnx

Solving for variable 'n'.

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

Add '-1lnx' to each side of the equation.
-1lnx + 2nyL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1lnx + 2nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1lx + 2yL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-1lx + 2yL)' equal to zero and attempt to solve:

Simplifying
-1lx + 2yL = 0

Solving
-1lx + 2yL = 0

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

Add 'lx' to each side of the equation.
-1lx + lx + 2yL = 0 + lx

Combine like terms: -1lx + lx = 0
0 + 2yL = 0 + lx
2yL = 0 + lx
Remove the zero:
2yL = lx

Add '-2yL' to each side of the equation.
2yL + -2yL = lx + -2yL

Combine like terms: 2yL + -2yL = 0
0 = lx + -2yL

Simplifying
0 = lx + -2yL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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