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Simplifying 6ln(x + 9) + -9lnx = 0 Reorder the terms: 6ln(9 + x) + -9lnx = 0 (9 * 6ln + x * 6ln) + -9lnx = 0 (54ln + 6lnx) + -9lnx = 0 Combine like terms: 6lnx + -9lnx = -3lnx 54ln + -3lnx = 0 Solving 54ln + -3lnx = 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), '3ln'. 3ln(18 + -1x) = 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 '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Add 'x' to each side of the equation. -1x + x = -18 + x Combine like terms: -1x + x = 0 0 = -18 + x Simplifying 0 = -18 + x 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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