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Simplifying 29 + -5ln(x + 3) = 9 Reorder the terms: 29 + -5ln(3 + x) = 9 29 + (3 * -5ln + x * -5ln) = 9 29 + (-15ln + -5lnx) = 9 Solving 29 + -15ln + -5lnx = 9 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 + -15ln + -29 + -5lnx = 9 + -29 Reorder the terms: 29 + -29 + -15ln + -5lnx = 9 + -29 Combine like terms: 29 + -29 = 0 0 + -15ln + -5lnx = 9 + -29 -15ln + -5lnx = 9 + -29 Combine like terms: 9 + -29 = -20 -15ln + -5lnx = -20 Reorder the terms: 20 + -15ln + -5lnx = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -15ln + -5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -3ln + -1lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -3ln + -1lnx)' equal to zero and attempt to solve: Simplifying 4 + -3ln + -1lnx = 0 Solving 4 + -3ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3ln + -4 + -1lnx = 0 + -4 Reorder the terms: 4 + -4 + -3ln + -1lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3ln + -1lnx = 0 + -4 -3ln + -1lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -3ln + -1lnx = -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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