Lny=5lnx

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Solution for Lny=5lnx equation:


Simplifying
Lny = 5lnx

Solving
nyL = 5lnx

Solving for variable 'n'.

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

Add '-5lnx' to each side of the equation.
-5lnx + nyL = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
-5lnx + nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5lx + 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 '(-5lx + yL)' equal to zero and attempt to solve: Simplifying -5lx + yL = 0 Solving -5lx + yL = 0 Move all terms containing n to the left, all other terms to the right. Add '5lx' to each side of the equation. -5lx + 5lx + yL = 0 + 5lx Combine like terms: -5lx + 5lx = 0 0 + yL = 0 + 5lx yL = 0 + 5lx Remove the zero: yL = 5lx Add '-1yL' to each side of the equation. yL + -1yL = 5lx + -1yL Combine like terms: yL + -1yL = 0 0 = 5lx + -1yL Simplifying 0 = 5lx + -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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