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Simplifying ln(6 + -1x) + ln * 2 = ln * 24 (6 * ln + -1x * ln) + ln * 2 = ln * 24 (6ln + -1lnx) + ln * 2 = ln * 24 Reorder the terms for easier multiplication: 6ln + -1lnx + 2ln = ln * 24 Reorder the terms: 6ln + 2ln + -1lnx = ln * 24 Combine like terms: 6ln + 2ln = 8ln 8ln + -1lnx = ln * 24 Reorder the terms for easier multiplication: 8ln + -1lnx = 24ln Solving 8ln + -1lnx = 24ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-24ln' to each side of the equation. 8ln + -24ln + -1lnx = 24ln + -24ln Combine like terms: 8ln + -24ln = -16ln -16ln + -1lnx = 24ln + -24ln Combine like terms: 24ln + -24ln = 0 -16ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), '-1ln'. -1ln(16 + x) = 0 Ignore the factor -1.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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Add '-1x' to each side of the equation. x + -1x = -16 + -1x Combine like terms: x + -1x = 0 0 = -16 + -1x Simplifying 0 = -16 + -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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