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Simplifying 2ln(3x + 1) + -4 = 12 Reorder the terms: 2ln(1 + 3x) + -4 = 12 (1 * 2ln + 3x * 2ln) + -4 = 12 (2ln + 6lnx) + -4 = 12 Reorder the terms: -4 + 2ln + 6lnx = 12 Solving -4 + 2ln + 6lnx = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2ln + 4 + 6lnx = 12 + 4 Reorder the terms: -4 + 4 + 2ln + 6lnx = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2ln + 6lnx = 12 + 4 2ln + 6lnx = 12 + 4 Combine like terms: 12 + 4 = 16 2ln + 6lnx = 16 Reorder the terms: -16 + 2ln + 6lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 2ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + ln + 3lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + ln + 3lnx)' equal to zero and attempt to solve: Simplifying -8 + ln + 3lnx = 0 Solving -8 + ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + ln + 8 + 3lnx = 0 + 8 Reorder the terms: -8 + 8 + ln + 3lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + ln + 3lnx = 0 + 8 ln + 3lnx = 0 + 8 Combine like terms: 0 + 8 = 8 ln + 3lnx = 8 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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