Lny+c=lnx+c

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Solution for Lny+c=lnx+c equation: 


Simplifying
Lny + c = lnx + c

Reorder the terms:
c + nyL = lnx + c

Reorder the terms:
c + nyL = c + lnx

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

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

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

Solving
nyL = 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 + nyL = lnx + -1lnx

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1lx + yL) = 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 + yL)' equal to zero and attempt to solve:

Simplifying
-1lx + yL = 0

Solving
-1lx + yL = 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 + yL = 0 + lx

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

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

Combine like terms: yL + -1yL = 0
0 = lx + -1yL

Simplifying
0 = lx + -1yL

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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