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Simplifying 10 + -2ln(3x + -1) = 8 Reorder the terms: 10 + -2ln(-1 + 3x) = 8 10 + (-1 * -2ln + 3x * -2ln) = 8 10 + (2ln + -6lnx) = 8 Solving 10 + 2ln + -6lnx = 8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2ln + -10 + -6lnx = 8 + -10 Reorder the terms: 10 + -10 + 2ln + -6lnx = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 2ln + -6lnx = 8 + -10 2ln + -6lnx = 8 + -10 Combine like terms: 8 + -10 = -2 2ln + -6lnx = -2 Reorder the terms: 2 + 2ln + -6lnx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 2ln + -6lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + ln + -3lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + ln + -3lnx)' equal to zero and attempt to solve: Simplifying 1 + ln + -3lnx = 0 Solving 1 + ln + -3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ln + -1 + -3lnx = 0 + -1 Reorder the terms: 1 + -1 + ln + -3lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ln + -3lnx = 0 + -1 ln + -3lnx = 0 + -1 Combine like terms: 0 + -1 = -1 ln + -3lnx = -1 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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