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Simplifying ln(2x + 6) = -10 Reorder the terms: ln(6 + 2x) = -10 (6 * ln + 2x * ln) = -10 (6ln + 2lnx) = -10 Solving 6ln + 2lnx = -10 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 10 + 6ln + 2lnx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 6ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 3ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying 5 + 3ln + lnx = 0 Solving 5 + 3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3ln + -5 + lnx = 0 + -5 Reorder the terms: 5 + -5 + 3ln + lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3ln + lnx = 0 + -5 3ln + lnx = 0 + -5 Combine like terms: 0 + -5 = -5 3ln + lnx = -5 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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