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Simplifying 2ln(-1x) + -1ln(9) = 6 Remove parenthesis around (-1x) 2ln * -1x + -1ln(9) = 6 Reorder the terms for easier multiplication: 2 * -1ln * x + -1ln(9) = 6 Multiply 2 * -1 -2ln * x + -1ln(9) = 6 Multiply ln * x -2lnx + -1ln(9) = 6 Reorder the terms for easier multiplication: -2lnx + -1 * 9ln = 6 Multiply -1 * 9 -2lnx + -9ln = 6 Reorder the terms: -9ln + -2lnx = 6 Solving -9ln + -2lnx = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -6 + -9ln + -2lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -9ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 9ln + 2lnx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 9ln + 2lnx)' equal to zero and attempt to solve: Simplifying 6 + 9ln + 2lnx = 0 Solving 6 + 9ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9ln + -6 + 2lnx = 0 + -6 Reorder the terms: 6 + -6 + 9ln + 2lnx = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9ln + 2lnx = 0 + -6 9ln + 2lnx = 0 + -6 Combine like terms: 0 + -6 = -6 9ln + 2lnx = -6 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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