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Simplifying lny = 25(ln(x + -3) + -1ln(x + 2)) Reorder the terms: lny = 25(ln(-3 + x) + -1ln(x + 2)) lny = 25((-3 * ln + x * ln) + -1ln(x + 2)) lny = 25((-3ln + lnx) + -1ln(x + 2)) Reorder the terms: lny = 25(-3ln + lnx + -1ln(2 + x)) lny = 25(-3ln + lnx + (2 * -1ln + x * -1ln)) lny = 25(-3ln + lnx + (-2ln + -1lnx)) Reorder the terms: lny = 25(-3ln + -2ln + lnx + -1lnx) Combine like terms: -3ln + -2ln = -5ln lny = 25(-5ln + lnx + -1lnx) Combine like terms: lnx + -1lnx = 0 lny = 25(-5ln + 0) lny = 25(-5ln) Remove parenthesis around (-5ln) lny = 25 * -5ln Multiply 25 * -5 lny = -125ln Solving lny = -125ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '125ln' to each side of the equation. 125ln + lny = -125ln + 125ln Combine like terms: -125ln + 125ln = 0 125ln + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(125 + 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 '(125 + y)' equal to zero and attempt to solve: Simplifying 125 + y = 0 Solving 125 + y = 0 Move all terms containing l to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + y = 0 + -125 Combine like terms: 125 + -125 = 0 0 + y = 0 + -125 y = 0 + -125 Combine like terms: 0 + -125 = -125 y = -125 Add '-1y' to each side of the equation. y + -1y = -125 + -1y Combine like terms: y + -1y = 0 0 = -125 + -1y Simplifying 0 = -125 + -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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