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Simplifying 3ln(x) = -1ln(27) Multiply ln * x 3lnx = -1ln(27) Reorder the terms for easier multiplication: 3lnx = -1 * 27ln Multiply -1 * 27 3lnx = -27ln Solving 3lnx = -27ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '27ln' to each side of the equation. 27ln + 3lnx = -27ln + 27ln Combine like terms: -27ln + 27ln = 0 27ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3ln'. 3ln(9 + x) = 0 Ignore the factor 3.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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