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Simplifying 26 = 20ln(1.8x + 4) Reorder the terms: 26 = 20ln(4 + 1.8x) 26 = (4 * 20ln + 1.8x * 20ln) 26 = (80ln + 36lnx) Solving 26 = 80ln + 36lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-80ln' to each side of the equation. 26 + -80ln = 80ln + -80ln + 36lnx Combine like terms: 80ln + -80ln = 0 26 + -80ln = 0 + 36lnx 26 + -80ln = 36lnx Add '-36lnx' to each side of the equation. 26 + -80ln + -36lnx = 36lnx + -36lnx Combine like terms: 36lnx + -36lnx = 0 26 + -80ln + -36lnx = 0 Add '-26' to each side of the equation. 26 + -80ln + -26 + -36lnx = 0 + -26 Reorder the terms: 26 + -26 + -80ln + -36lnx = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -80ln + -36lnx = 0 + -26 -80ln + -36lnx = 0 + -26 Combine like terms: 0 + -26 = -26 -80ln + -36lnx = -26 Reorder the terms: 26 + -80ln + -36lnx = -26 + 26 Combine like terms: -26 + 26 = 0 26 + -80ln + -36lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(13 + -40ln + -18lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -40ln + -18lnx)' equal to zero and attempt to solve: Simplifying 13 + -40ln + -18lnx = 0 Solving 13 + -40ln + -18lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -40ln + -13 + -18lnx = 0 + -13 Reorder the terms: 13 + -13 + -40ln + -18lnx = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -40ln + -18lnx = 0 + -13 -40ln + -18lnx = 0 + -13 Combine like terms: 0 + -13 = -13 -40ln + -18lnx = -13 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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