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Simplifying 3ln(4x + 2) = 18 Reorder the terms: 3ln(2 + 4x) = 18 (2 * 3ln + 4x * 3ln) = 18 (6ln + 12lnx) = 18 Solving 6ln + 12lnx = 18 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -18 + 6ln + 12lnx = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 6ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + ln + 2lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + ln + 2lnx = 0 Solving -3 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + ln + 2lnx = 0 + 3 ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 ln + 2lnx = 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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