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