lny=3lnx

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Solution for lny=3lnx equation:


Simplifying
lny = 3lnx

Solving
lny = 3lnx

Solving for variable 'l'.

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

Add '-3lnx' to each side of the equation.
-3lnx + lny = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
-3lnx + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3x + 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 '(-3x + y)' equal to zero and attempt to solve: Simplifying -3x + y = 0 Solving -3x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 3x + y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + y = 0 + 3x y = 0 + 3x Remove the zero: y = 3x Add '-1y' to each side of the equation. y + -1y = 3x + -1y Combine like terms: y + -1y = 0 0 = 3x + -1y Simplifying 0 = 3x + -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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