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Simplifying 7ln(3x + 2) + -8 = 6 Reorder the terms: 7ln(2 + 3x) + -8 = 6 (2 * 7ln + 3x * 7ln) + -8 = 6 (14ln + 21lnx) + -8 = 6 Reorder the terms: -8 + 14ln + 21lnx = 6 Solving -8 + 14ln + 21lnx = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 14ln + 8 + 21lnx = 6 + 8 Reorder the terms: -8 + 8 + 14ln + 21lnx = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 14ln + 21lnx = 6 + 8 14ln + 21lnx = 6 + 8 Combine like terms: 6 + 8 = 14 14ln + 21lnx = 14 Reorder the terms: -14 + 14ln + 21lnx = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 14ln + 21lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-2 + 2ln + 3lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2 + 2ln + 3lnx)' equal to zero and attempt to solve: Simplifying -2 + 2ln + 3lnx = 0 Solving -2 + 2ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2ln + 2 + 3lnx = 0 + 2 Reorder the terms: -2 + 2 + 2ln + 3lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2ln + 3lnx = 0 + 2 2ln + 3lnx = 0 + 2 Combine like terms: 0 + 2 = 2 2ln + 3lnx = 2 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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