Ln(y)=5lnx*ln(c)

Solution for Ln(y)=5lnx*ln(c) equation:

Simplifying
Ln(y) = 5lnx * ln(c)

Multiply nL * y
nyL = 5lnx * ln(c)

Multiply lnx * ln
nyL = 5l2n2x * c

Multiply l2n2x * c
nyL = 5cl2n2x

Solving
nyL = 5cl2n2x

Solving for variable 'n'.

Reorder the terms:
-5cl2n2x + nyL = 5cl2n2x + -5cl2n2x

Combine like terms: 5cl2n2x + -5cl2n2x = 0
-5cl2n2x + nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5cl2nx + 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 '(-5cl2nx + yL)' equal to zero and attempt to solve:

Simplifying
-5cl2nx + yL = 0

Solving
-5cl2nx + yL = 0

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

Add '-1yL' to each side of the equation.
-5cl2nx + yL + -1yL = 0 + -1yL

Combine like terms: yL + -1yL = 0
-5cl2nx + 0 = 0 + -1yL
-5cl2nx = 0 + -1yL
Remove the zero:
-5cl2nx = -1yL

Divide each side by '-5cl2x'.
n = 0.2c-1l-2x-1yL

Simplifying
n = 0.2c-1l-2x-1yL
Solution
n = {0, 0.2c-1l-2x-1yL}