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Simplifying 9ln(x + -18) + -5lnx = 0 Reorder the terms: 9ln(-18 + x) + -5lnx = 0 (-18 * 9ln + x * 9ln) + -5lnx = 0 (-162ln + 9lnx) + -5lnx = 0 Combine like terms: 9lnx + -5lnx = 4lnx -162ln + 4lnx = 0 Solving -162ln + 4lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-81 + 2x) = 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 '(-81 + 2x)' equal to zero and attempt to solve: Simplifying -81 + 2x = 0 Solving -81 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 2x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 2x = 0 + 81 2x = 0 + 81 Combine like terms: 0 + 81 = 81 2x = 81 Add '-2x' to each side of the equation. 2x + -2x = 81 + -2x Combine like terms: 2x + -2x = 0 0 = 81 + -2x Simplifying 0 = 81 + -2x 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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