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Simplifying 5200 = 2 + 6ln(2q + 1) Reorder the terms: 5200 = 2 + 6ln(1 + 2q) 5200 = 2 + (1 * 6ln + 2q * 6ln) 5200 = 2 + (6ln + 12lnq) Solving 5200 = 2 + 6ln + 12lnq Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 5200 + -6ln = 2 + 6ln + -6ln + 12lnq Combine like terms: 6ln + -6ln = 0 5200 + -6ln = 2 + 0 + 12lnq 5200 + -6ln = 2 + 12lnq Add '-12lnq' to each side of the equation. 5200 + -6ln + -12lnq = 2 + 12lnq + -12lnq Combine like terms: 12lnq + -12lnq = 0 5200 + -6ln + -12lnq = 2 + 0 5200 + -6ln + -12lnq = 2 Add '-5200' to each side of the equation. 5200 + -6ln + -5200 + -12lnq = 2 + -5200 Reorder the terms: 5200 + -5200 + -6ln + -12lnq = 2 + -5200 Combine like terms: 5200 + -5200 = 0 0 + -6ln + -12lnq = 2 + -5200 -6ln + -12lnq = 2 + -5200 Combine like terms: 2 + -5200 = -5198 -6ln + -12lnq = -5198 Reorder the terms: 5198 + -6ln + -12lnq = -5198 + 5198 Combine like terms: -5198 + 5198 = 0 5198 + -6ln + -12lnq = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2599 + -3ln + -6lnq) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2599 + -3ln + -6lnq)' equal to zero and attempt to solve: Simplifying 2599 + -3ln + -6lnq = 0 Solving 2599 + -3ln + -6lnq = 0 Move all terms containing l to the left, all other terms to the right. Add '-2599' to each side of the equation. 2599 + -3ln + -2599 + -6lnq = 0 + -2599 Reorder the terms: 2599 + -2599 + -3ln + -6lnq = 0 + -2599 Combine like terms: 2599 + -2599 = 0 0 + -3ln + -6lnq = 0 + -2599 -3ln + -6lnq = 0 + -2599 Combine like terms: 0 + -2599 = -2599 -3ln + -6lnq = -2599 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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