y=5lny

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Solution for y=5lny equation:


Simplifying
y = 5lny

Solving
y = 5lny

Solving for variable 'y'.

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

Add '-5lny' to each side of the equation.
-5lny + y = 5lny + -5lny

Combine like terms: 5lny + -5lny = 0
-5lny + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-5ln + 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 '(-5ln + 1)' equal to zero and attempt to solve: Simplifying -5ln + 1 = 0 Reorder the terms: 1 + -5ln = 0 Solving 1 + -5ln = 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 + -5ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5ln = 0 + -1 -5ln = 0 + -1 Combine like terms: 0 + -1 = -1 -5ln = -1 Add '5ln' to each side of the equation. -5ln + 5ln = -1 + 5ln Combine like terms: -5ln + 5ln = 0 0 = -1 + 5ln Simplifying 0 = -1 + 5ln 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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