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Simplifying 14 = 11 + 3ln(26x + 2) Reorder the terms: 14 = 11 + 3ln(2 + 26x) 14 = 11 + (2 * 3ln + 26x * 3ln) 14 = 11 + (6ln + 78lnx) Solving 14 = 11 + 6ln + 78lnx 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. 14 + -6ln = 11 + 6ln + -6ln + 78lnx Combine like terms: 6ln + -6ln = 0 14 + -6ln = 11 + 0 + 78lnx 14 + -6ln = 11 + 78lnx Add '-78lnx' to each side of the equation. 14 + -6ln + -78lnx = 11 + 78lnx + -78lnx Combine like terms: 78lnx + -78lnx = 0 14 + -6ln + -78lnx = 11 + 0 14 + -6ln + -78lnx = 11 Add '-14' to each side of the equation. 14 + -6ln + -14 + -78lnx = 11 + -14 Reorder the terms: 14 + -14 + -6ln + -78lnx = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -6ln + -78lnx = 11 + -14 -6ln + -78lnx = 11 + -14 Combine like terms: 11 + -14 = -3 -6ln + -78lnx = -3 Reorder the terms: 3 + -6ln + -78lnx = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -6ln + -78lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -2ln + -26lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2ln + -26lnx)' equal to zero and attempt to solve: Simplifying 1 + -2ln + -26lnx = 0 Solving 1 + -2ln + -26lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ln + -1 + -26lnx = 0 + -1 Reorder the terms: 1 + -1 + -2ln + -26lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ln + -26lnx = 0 + -1 -2ln + -26lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -2ln + -26lnx = -1 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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