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Simplifying 6ln(x + 8) + -5lnx = 0 Reorder the terms: 6ln(8 + x) + -5lnx = 0 (8 * 6ln + x * 6ln) + -5lnx = 0 (48ln + 6lnx) + -5lnx = 0 Combine like terms: 6lnx + -5lnx = 1lnx 48ln + 1lnx = 0 Solving 48ln + 1lnx = 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), 'ln'. ln(48 + x) = 0Subproblem 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 '(48 + x)' equal to zero and attempt to solve: Simplifying 48 + x = 0 Solving 48 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + x = 0 + -48 x = 0 + -48 Combine like terms: 0 + -48 = -48 x = -48 Add '-1x' to each side of the equation. x + -1x = -48 + -1x Combine like terms: x + -1x = 0 0 = -48 + -1x Simplifying 0 = -48 + -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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