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Simplifying ln(x) = 0.22ln(3y + 2) Multiply ln * x lnx = 0.22ln(3y + 2) Reorder the terms: lnx = 0.22ln(2 + 3y) lnx = (2 * 0.22ln + 3y * 0.22ln) lnx = (0.44ln + 0.66lny) Solving lnx = 0.44ln + 0.66lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-0.44ln' to each side of the equation. -0.44ln + lnx = 0.44ln + -0.44ln + 0.66lny Combine like terms: 0.44ln + -0.44ln = 0.00 -0.44ln + lnx = 0.00 + 0.66lny -0.44ln + lnx = 0.66lny Add '-0.66lny' to each side of the equation. -0.44ln + lnx + -0.66lny = 0.66lny + -0.66lny Combine like terms: 0.66lny + -0.66lny = 0.00 -0.44ln + lnx + -0.66lny = 0.00 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-0.44 + x + -0.66y) = 0.00Subproblem 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 '(-0.44 + x + -0.66y)' equal to zero and attempt to solve: Simplifying -0.44 + x + -0.66y = 0 Solving -0.44 + x + -0.66y = 0 Move all terms containing l to the left, all other terms to the right. Add '0.44' to each side of the equation. -0.44 + x + 0.44 + -0.66y = 0 + 0.44 Reorder the terms: -0.44 + 0.44 + x + -0.66y = 0 + 0.44 Combine like terms: -0.44 + 0.44 = 0.00 0.00 + x + -0.66y = 0 + 0.44 x + -0.66y = 0 + 0.44 Combine like terms: 0 + 0.44 = 0.44 x + -0.66y = 0.44 Add '-1x' to each side of the equation. x + -1x + -0.66y = 0.44 + -1x Combine like terms: x + -1x = 0 0 + -0.66y = 0.44 + -1x -0.66y = 0.44 + -1x Add '0.66y' to each side of the equation. -0.66y + 0.66y = 0.44 + -1x + 0.66y Combine like terms: -0.66y + 0.66y = 0.00 0.00 = 0.44 + -1x + 0.66y Simplifying 0.00 = 0.44 + -1x + 0.66y 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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