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Simplifying 7ln(x + 8) + -4lnx = 0 Reorder the terms: 7ln(8 + x) + -4lnx = 0 (8 * 7ln + x * 7ln) + -4lnx = 0 (56ln + 7lnx) + -4lnx = 0 Combine like terms: 7lnx + -4lnx = 3lnx 56ln + 3lnx = 0 Solving 56ln + 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), 'ln'. ln(56 + 3x) = 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 '(56 + 3x)' equal to zero and attempt to solve: Simplifying 56 + 3x = 0 Solving 56 + 3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 3x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = 0 + -56 3x = 0 + -56 Combine like terms: 0 + -56 = -56 3x = -56 Add '-3x' to each side of the equation. 3x + -3x = -56 + -3x Combine like terms: 3x + -3x = 0 0 = -56 + -3x Simplifying 0 = -56 + -3x 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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