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