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Simplifying 41 + -5ln(2x + 14) = 13 Reorder the terms: 41 + -5ln(14 + 2x) = 13 41 + (14 * -5ln + 2x * -5ln) = 13 41 + (-70ln + -10lnx) = 13 Solving 41 + -70ln + -10lnx = 13 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -70ln + -41 + -10lnx = 13 + -41 Reorder the terms: 41 + -41 + -70ln + -10lnx = 13 + -41 Combine like terms: 41 + -41 = 0 0 + -70ln + -10lnx = 13 + -41 -70ln + -10lnx = 13 + -41 Combine like terms: 13 + -41 = -28 -70ln + -10lnx = -28 Reorder the terms: 28 + -70ln + -10lnx = -28 + 28 Combine like terms: -28 + 28 = 0 28 + -70ln + -10lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + -35ln + -5lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -35ln + -5lnx)' equal to zero and attempt to solve: Simplifying 14 + -35ln + -5lnx = 0 Solving 14 + -35ln + -5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -35ln + -14 + -5lnx = 0 + -14 Reorder the terms: 14 + -14 + -35ln + -5lnx = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -35ln + -5lnx = 0 + -14 -35ln + -5lnx = 0 + -14 Combine like terms: 0 + -14 = -14 -35ln + -5lnx = -14 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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