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Simplifying lny = lnx + ln(x + 19) + lnC Reorder the terms: lny = lnx + ln(19 + x) + lnC lny = lnx + (19 * ln + x * ln) + lnC lny = lnx + (19ln + lnx) + lnC Reorder the terms: lny = 19ln + lnC + lnx + lnx Combine like terms: lnx + lnx = 2lnx lny = 19ln + lnC + 2lnx Solving lny = 19ln + lnC + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-19ln' to each side of the equation. -19ln + lny = 19ln + lnC + -19ln + 2lnx Reorder the terms: -19ln + lny = 19ln + -19ln + lnC + 2lnx Combine like terms: 19ln + -19ln = 0 -19ln + lny = 0 + lnC + 2lnx -19ln + lny = lnC + 2lnx Add '-1lnC' to each side of the equation. -19ln + -1lnC + lny = lnC + -1lnC + 2lnx Combine like terms: lnC + -1lnC = 0 -19ln + -1lnC + lny = 0 + 2lnx -19ln + -1lnC + lny = 2lnx Add '-2lnx' to each side of the equation. -19ln + -1lnC + -2lnx + lny = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -19ln + -1lnC + -2lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-19 + -1C + -2x + 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 '(-19 + -1C + -2x + y)' equal to zero and attempt to solve: Simplifying -19 + -1C + -2x + y = 0 Solving -19 + -1C + -2x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '19' to each side of the equation. -19 + -1C + -2x + 19 + y = 0 + 19 Reorder the terms: -19 + 19 + -1C + -2x + y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1C + -2x + y = 0 + 19 -1C + -2x + y = 0 + 19 Combine like terms: 0 + 19 = 19 -1C + -2x + y = 19 Add 'C' to each side of the equation. -1C + -2x + C + y = 19 + C Reorder the terms: -1C + C + -2x + y = 19 + C Combine like terms: -1C + C = 0 0 + -2x + y = 19 + C -2x + y = 19 + C Add '2x' to each side of the equation. -2x + 2x + y = 19 + C + 2x Combine like terms: -2x + 2x = 0 0 + y = 19 + C + 2x y = 19 + C + 2x Add '-1y' to each side of the equation. y + -1y = 19 + C + 2x + -1y Combine like terms: y + -1y = 0 0 = 19 + C + 2x + -1y Simplifying 0 = 19 + C + 2x + -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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