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Simplifying 3ln(x + 7) = -3 Reorder the terms: 3ln(7 + x) = -3 (7 * 3ln + x * 3ln) = -3 (21ln + 3lnx) = -3 Solving 21ln + 3lnx = -3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 3 + 21ln + 3lnx = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 21ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 7ln + lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + 7ln + lnx)' equal to zero and attempt to solve: Simplifying 1 + 7ln + lnx = 0 Solving 1 + 7ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7ln + -1 + lnx = 0 + -1 Reorder the terms: 1 + -1 + 7ln + lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7ln + lnx = 0 + -1 7ln + lnx = 0 + -1 Combine like terms: 0 + -1 = -1 7ln + lnx = -1 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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