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Simplifying ln(3x + -14) + -1ln * x = ln * 4 Reorder the terms: ln(-14 + 3x) + -1ln * x = ln * 4 (-14 * ln + 3x * ln) + -1ln * x = ln * 4 (-14ln + 3lnx) + -1ln * x = ln * 4 Multiply ln * x -14ln + 3lnx + -1lnx = ln * 4 Combine like terms: 3lnx + -1lnx = 2lnx -14ln + 2lnx = ln * 4 Reorder the terms for easier multiplication: -14ln + 2lnx = 4ln Solving -14ln + 2lnx = 4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. -14ln + -4ln + 2lnx = 4ln + -4ln Combine like terms: -14ln + -4ln = -18ln -18ln + 2lnx = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 -18ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-9 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -1x 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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