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Simplifying 7ln(x + 4) + -8lnx = 0 Reorder the terms: 7ln(4 + x) + -8lnx = 0 (4 * 7ln + x * 7ln) + -8lnx = 0 (28ln + 7lnx) + -8lnx = 0 Combine like terms: 7lnx + -8lnx = -1lnx 28ln + -1lnx = 0 Solving 28ln + -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(28 + -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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Add 'x' to each side of the equation. -1x + x = -28 + x Combine like terms: -1x + x = 0 0 = -28 + x Simplifying 0 = -28 + 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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