ln(y-4)=2ln(x)

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Solution for ln(y-4)=2ln(x) equation: 


Simplifying
ln(y + -4) = 2ln(x)

Reorder the terms:
ln(-4 + y) = 2ln(x)
(-4 * ln + y * ln) = 2ln(x)
(-4ln + lny) = 2ln(x)

Multiply ln * x
-4ln + lny = 2lnx

Solving
-4ln + lny = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-4ln + -2lnx + lny = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln + -2lnx + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4 + -2x + 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 '(-4 + -2x + y)' equal to zero and attempt to solve:

Simplifying
-4 + -2x + y = 0

Solving
-4 + -2x + y = 0

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

Add '4' to each side of the equation.
-4 + -2x + 4 + y = 0 + 4

Reorder the terms:
-4 + 4 + -2x + y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2x + y = 0 + 4
-2x + y = 0 + 4

Combine like terms: 0 + 4 = 4
-2x + y = 4

Add '2x' to each side of the equation.
-2x + 2x + y = 4 + 2x

Combine like terms: -2x + 2x = 0
0 + y = 4 + 2x
y = 4 + 2x

Add '-1y' to each side of the equation.
y + -1y = 4 + 2x + -1y

Combine like terms: y + -1y = 0
0 = 4 + 2x + -1y

Simplifying
0 = 4 + 2x + -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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