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Simplifying 7ln(5x + 2) = -21 Reorder the terms: 7ln(2 + 5x) = -21 (2 * 7ln + 5x * 7ln) = -21 (14ln + 35lnx) = -21 Solving 14ln + 35lnx = -21 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 21 + 14ln + 35lnx = -21 + 21 Combine like terms: -21 + 21 = 0 21 + 14ln + 35lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(3 + 2ln + 5lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + 2ln + 5lnx)' equal to zero and attempt to solve: Simplifying 3 + 2ln + 5lnx = 0 Solving 3 + 2ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2ln + -3 + 5lnx = 0 + -3 Reorder the terms: 3 + -3 + 2ln + 5lnx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ln + 5lnx = 0 + -3 2ln + 5lnx = 0 + -3 Combine like terms: 0 + -3 = -3 2ln + 5lnx = -3 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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