Lnx=lny

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Solution for Lnx=lny equation:


Simplifying
Lnx = lny

Solving
nxL = lny

Solving for variable 'n'.

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

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

Combine like terms: lny + -1lny = 0
-1lny + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1ly + xL) = 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 '(-1ly + xL)' equal to zero and attempt to solve: Simplifying -1ly + xL = 0 Solving -1ly + xL = 0 Move all terms containing n to the left, all other terms to the right. Add 'ly' to each side of the equation. -1ly + ly + xL = 0 + ly Combine like terms: -1ly + ly = 0 0 + xL = 0 + ly xL = 0 + ly Remove the zero: xL = ly Add '-1xL' to each side of the equation. xL + -1xL = ly + -1xL Combine like terms: xL + -1xL = 0 0 = ly + -1xL Simplifying 0 = ly + -1xL 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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