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Simplifying 9ln(3x + -4) = 27 Reorder the terms: 9ln(-4 + 3x) = 27 (-4 * 9ln + 3x * 9ln) = 27 (-36ln + 27lnx) = 27 Solving -36ln + 27lnx = 27 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -27 + -36ln + 27lnx = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -36ln + 27lnx = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-3 + -4ln + 3lnx) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-3 + -4ln + 3lnx)' equal to zero and attempt to solve: Simplifying -3 + -4ln + 3lnx = 0 Solving -3 + -4ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4ln + 3 + 3lnx = 0 + 3 Reorder the terms: -3 + 3 + -4ln + 3lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4ln + 3lnx = 0 + 3 -4ln + 3lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -4ln + 3lnx = 3 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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