Ln(2y)=Ln(x)

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Solution for Ln(2y)=Ln(x) equation: 


Simplifying
Ln(2y) = Ln(x)

Remove parenthesis around (2y)
nL * 2y = Ln(x)

Reorder the terms for easier multiplication:
2nL * y = Ln(x)

Multiply nL * y
2nyL = Ln(x)

Multiply nL * x
2nyL = nxL

Solving
2nyL = nxL

Solving for variable 'n'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'nL'.
nL(-1x + 2y) = 0


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

Simplifying
nL = 0

Solving
nL = 0

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

Simplifying
nL = 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 '(-1x + 2y)' equal to zero and attempt to solve:

Simplifying
-1x + 2y = 0

Solving
-1x + 2y = 0

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

Add 'x' to each side of the equation.
-1x + x + 2y = 0 + x

Combine like terms: -1x + x = 0
0 + 2y = 0 + x
2y = 0 + x
Remove the zero:
2y = x

Add '-2y' to each side of the equation.
2y + -2y = x + -2y

Combine like terms: 2y + -2y = 0
0 = x + -2y

Simplifying
0 = x + -2y

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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