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Simplifying 6ln(3x + 6) + 5 = 29 Reorder the terms: 6ln(6 + 3x) + 5 = 29 (6 * 6ln + 3x * 6ln) + 5 = 29 (36ln + 18lnx) + 5 = 29 Reorder the terms: 5 + 36ln + 18lnx = 29 Solving 5 + 36ln + 18lnx = 29 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 36ln + -5 + 18lnx = 29 + -5 Reorder the terms: 5 + -5 + 36ln + 18lnx = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 36ln + 18lnx = 29 + -5 36ln + 18lnx = 29 + -5 Combine like terms: 29 + -5 = 24 36ln + 18lnx = 24 Reorder the terms: -24 + 36ln + 18lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 36ln + 18lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + 6ln + 3lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + 6ln + 3lnx)' equal to zero and attempt to solve: Simplifying -4 + 6ln + 3lnx = 0 Solving -4 + 6ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6ln + 4 + 3lnx = 0 + 4 Reorder the terms: -4 + 4 + 6ln + 3lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6ln + 3lnx = 0 + 4 6ln + 3lnx = 0 + 4 Combine like terms: 0 + 4 = 4 6ln + 3lnx = 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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