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Simplifying ln(x + 10) + -1ln(x + -6) = l Reorder the terms: ln(10 + x) + -1ln(x + -6) = l (10 * ln + x * ln) + -1ln(x + -6) = l (10ln + lnx) + -1ln(x + -6) = l Reorder the terms: 10ln + lnx + -1ln(-6 + x) = l 10ln + lnx + (-6 * -1ln + x * -1ln) = l 10ln + lnx + (6ln + -1lnx) = l Reorder the terms: 10ln + 6ln + lnx + -1lnx = l Combine like terms: 10ln + 6ln = 16ln 16ln + lnx + -1lnx = l Combine like terms: lnx + -1lnx = 0 16ln + 0 = l 16ln = l Solving 16ln = l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1l' to each side of the equation. -1l + 16ln = l + -1l Combine like terms: l + -1l = 0 -1l + 16ln = 0 Factor out the Greatest Common Factor (GCF), 'l'. l(-1 + 16n) = 0Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0Subproblem 2
Set the factor '(-1 + 16n)' equal to zero and attempt to solve: Simplifying -1 + 16n = 0 Solving -1 + 16n = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 16n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 16n = 0 + 1 16n = 0 + 1 Combine like terms: 0 + 1 = 1 16n = 1 Add '-16n' to each side of the equation. 16n + -16n = 1 + -16n Combine like terms: 16n + -16n = 0 0 = 1 + -16n Simplifying 0 = 1 + -16n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
l = {0}
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