ln(y)=4000ln(x)

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Solution for ln(y)=4000ln(x) equation: 


Simplifying
ln(y) = 4000ln(x)

Multiply ln * y
lny = 4000ln(x)

Multiply ln * x
lny = 4000lnx

Solving
lny = 4000lnx

Solving for variable 'l'.

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

Add '-4000lnx' to each side of the equation.
-4000lnx + lny = 4000lnx + -4000lnx

Combine like terms: 4000lnx + -4000lnx = 0
-4000lnx + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4000x + y) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(-4000x + y)' equal to zero and attempt to solve:

Simplifying
-4000x + y = 0

Solving
-4000x + y = 0

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

Add '4000x' to each side of the equation.
-4000x + 4000x + y = 0 + 4000x

Combine like terms: -4000x + 4000x = 0
0 + y = 0 + 4000x
y = 0 + 4000x
Remove the zero:
y = 4000x

Add '-1y' to each side of the equation.
y + -1y = 4000x + -1y

Combine like terms: y + -1y = 0
0 = 4000x + -1y

Simplifying
0 = 4000x + -1y

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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