y=4ln(y)

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Solution for y=4ln(y) equation:


Simplifying
y = 4ln(y)

Multiply ln * y
y = 4lny

Solving
y = 4lny

Solving for variable 'y'.

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

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

Combine like terms: 4lny + -4lny = 0
-4lny + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4ln + 1) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-4ln + 1)' equal to zero and attempt to solve: Simplifying -4ln + 1 = 0 Reorder the terms: 1 + -4ln = 0 Solving 1 + -4ln = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4ln = 0 + -1 -4ln = 0 + -1 Combine like terms: 0 + -1 = -1 -4ln = -1 Add '4ln' to each side of the equation. -4ln + 4ln = -1 + 4ln Combine like terms: -4ln + 4ln = 0 0 = -1 + 4ln Simplifying 0 = -1 + 4ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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