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Simplifying ln(r + 4) = ln(3s + 2) Reorder the terms: ln(4 + r) = ln(3s + 2) (4 * ln + r * ln) = ln(3s + 2) (4ln + lnr) = ln(3s + 2) Reorder the terms: 4ln + lnr = ln(2 + 3s) 4ln + lnr = (2 * ln + 3s * ln) 4ln + lnr = (2ln + 3lns) Solving 4ln + lnr = 2ln + 3lns Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. 4ln + -2ln + lnr = 2ln + -2ln + 3lns Combine like terms: 4ln + -2ln = 2ln 2ln + lnr = 2ln + -2ln + 3lns Combine like terms: 2ln + -2ln = 0 2ln + lnr = 0 + 3lns 2ln + lnr = 3lns Add '-3lns' to each side of the equation. 2ln + lnr + -3lns = 3lns + -3lns Combine like terms: 3lns + -3lns = 0 2ln + lnr + -3lns = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(2 + r + -3s) = 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 '(2 + r + -3s)' equal to zero and attempt to solve: Simplifying 2 + r + -3s = 0 Solving 2 + r + -3s = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + r + -2 + -3s = 0 + -2 Reorder the terms: 2 + -2 + r + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r + -3s = 0 + -2 r + -3s = 0 + -2 Combine like terms: 0 + -2 = -2 r + -3s = -2 Add '-1r' to each side of the equation. r + -1r + -3s = -2 + -1r Combine like terms: r + -1r = 0 0 + -3s = -2 + -1r -3s = -2 + -1r Add '3s' to each side of the equation. -3s + 3s = -2 + -1r + 3s Combine like terms: -3s + 3s = 0 0 = -2 + -1r + 3s Simplifying 0 = -2 + -1r + 3s 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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