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Simplifying ln(x + -4) + -1ln(2x + 3) = 9 Reorder the terms: ln(-4 + x) + -1ln(2x + 3) = 9 (-4 * ln + x * ln) + -1ln(2x + 3) = 9 (-4ln + lnx) + -1ln(2x + 3) = 9 Reorder the terms: -4ln + lnx + -1ln(3 + 2x) = 9 -4ln + lnx + (3 * -1ln + 2x * -1ln) = 9 -4ln + lnx + (-3ln + -2lnx) = 9 Reorder the terms: -4ln + -3ln + lnx + -2lnx = 9 Combine like terms: -4ln + -3ln = -7ln -7ln + lnx + -2lnx = 9 Combine like terms: lnx + -2lnx = -1lnx -7ln + -1lnx = 9 Solving -7ln + -1lnx = 9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -9 + -7ln + -1lnx = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -7ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 7ln + lnx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 7ln + lnx)' equal to zero and attempt to solve: Simplifying 9 + 7ln + lnx = 0 Solving 9 + 7ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 7ln + -9 + lnx = 0 + -9 Reorder the terms: 9 + -9 + 7ln + lnx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7ln + lnx = 0 + -9 7ln + lnx = 0 + -9 Combine like terms: 0 + -9 = -9 7ln + lnx = -9 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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