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Simplifying lny = 6lnx Solving lny = 6lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6lnx' to each side of the equation. -6lnx + lny = 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 0 -6lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-6x + y) = 0Subproblem 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 '(-6x + y)' equal to zero and attempt to solve: Simplifying -6x + y = 0 Solving -6x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '6x' to each side of the equation. -6x + 6x + y = 0 + 6x Combine like terms: -6x + 6x = 0 0 + y = 0 + 6x y = 0 + 6x Remove the zero: y = 6x Add '-1y' to each side of the equation. y + -1y = 6x + -1y Combine like terms: y + -1y = 0 0 = 6x + -1y Simplifying 0 = 6x + -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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