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Simplifying 48 = 14ln(17x + 4) Reorder the terms: 48 = 14ln(4 + 17x) 48 = (4 * 14ln + 17x * 14ln) 48 = (56ln + 238lnx) Solving 48 = 56ln + 238lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-56ln' to each side of the equation. 48 + -56ln = 56ln + -56ln + 238lnx Combine like terms: 56ln + -56ln = 0 48 + -56ln = 0 + 238lnx 48 + -56ln = 238lnx Add '-238lnx' to each side of the equation. 48 + -56ln + -238lnx = 238lnx + -238lnx Combine like terms: 238lnx + -238lnx = 0 48 + -56ln + -238lnx = 0 Add '-48' to each side of the equation. 48 + -56ln + -48 + -238lnx = 0 + -48 Reorder the terms: 48 + -48 + -56ln + -238lnx = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -56ln + -238lnx = 0 + -48 -56ln + -238lnx = 0 + -48 Combine like terms: 0 + -48 = -48 -56ln + -238lnx = -48 Reorder the terms: 48 + -56ln + -238lnx = -48 + 48 Combine like terms: -48 + 48 = 0 48 + -56ln + -238lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -28ln + -119lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + -28ln + -119lnx)' equal to zero and attempt to solve: Simplifying 24 + -28ln + -119lnx = 0 Solving 24 + -28ln + -119lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -28ln + -24 + -119lnx = 0 + -24 Reorder the terms: 24 + -24 + -28ln + -119lnx = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -28ln + -119lnx = 0 + -24 -28ln + -119lnx = 0 + -24 Combine like terms: 0 + -24 = -24 -28ln + -119lnx = -24 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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