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Simplifying 6ln(x + 16) + -7ln(x) = 0 Reorder the terms: 6ln(16 + x) + -7ln(x) = 0 (16 * 6ln + x * 6ln) + -7ln(x) = 0 (96ln + 6lnx) + -7ln(x) = 0 Multiply ln * x 96ln + 6lnx + -7lnx = 0 Combine like terms: 6lnx + -7lnx = -1lnx 96ln + -1lnx = 0 Solving 96ln + -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(96 + -1x) = 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 '(96 + -1x)' equal to zero and attempt to solve: Simplifying 96 + -1x = 0 Solving 96 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -1x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -1x = 0 + -96 -1x = 0 + -96 Combine like terms: 0 + -96 = -96 -1x = -96 Add 'x' to each side of the equation. -1x + x = -96 + x Combine like terms: -1x + x = 0 0 = -96 + x Simplifying 0 = -96 + 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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