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Simplifying 2ln(3x + 1) = 10 Reorder the terms: 2ln(1 + 3x) = 10 (1 * 2ln + 3x * 2ln) = 10 (2ln + 6lnx) = 10 Solving 2ln + 6lnx = 10 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -10 + 2ln + 6lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 2ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + ln + 3lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + ln + 3lnx)' equal to zero and attempt to solve: Simplifying -5 + ln + 3lnx = 0 Solving -5 + ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + ln + 5 + 3lnx = 0 + 5 Reorder the terms: -5 + 5 + ln + 3lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + ln + 3lnx = 0 + 5 ln + 3lnx = 0 + 5 Combine like terms: 0 + 5 = 5 ln + 3lnx = 5 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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