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Simplifying 29 + -5ln(4x + 24) = 13 Reorder the terms: 29 + -5ln(24 + 4x) = 13 29 + (24 * -5ln + 4x * -5ln) = 13 29 + (-120ln + -20lnx) = 13 Solving 29 + -120ln + -20lnx = 13 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -120ln + -29 + -20lnx = 13 + -29 Reorder the terms: 29 + -29 + -120ln + -20lnx = 13 + -29 Combine like terms: 29 + -29 = 0 0 + -120ln + -20lnx = 13 + -29 -120ln + -20lnx = 13 + -29 Combine like terms: 13 + -29 = -16 -120ln + -20lnx = -16 Reorder the terms: 16 + -120ln + -20lnx = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -120ln + -20lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -30ln + -5lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -30ln + -5lnx)' equal to zero and attempt to solve: Simplifying 4 + -30ln + -5lnx = 0 Solving 4 + -30ln + -5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -30ln + -4 + -5lnx = 0 + -4 Reorder the terms: 4 + -4 + -30ln + -5lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -30ln + -5lnx = 0 + -4 -30ln + -5lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -30ln + -5lnx = -4 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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