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Simplifying lnx = 5lny Solving lnx = 5lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5lny' to each side of the equation. lnx + -5lny = 5lny + -5lny Combine like terms: 5lny + -5lny = 0 lnx + -5lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(x + -5y) = 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 '(x + -5y)' equal to zero and attempt to solve: Simplifying x + -5y = 0 Solving x + -5y = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -5y = 0 + -1x Combine like terms: x + -1x = 0 0 + -5y = 0 + -1x -5y = 0 + -1x Remove the zero: -5y = -1x Add '5y' to each side of the equation. -5y + 5y = -1x + 5y Combine like terms: -5y + 5y = 0 0 = -1x + 5y Simplifying 0 = -1x + 5y 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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