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Simplifying ln(x + 5) = on(x + -1) + -1ln(x + 1) Reorder the terms: ln(5 + x) = on(x + -1) + -1ln(x + 1) (5 * ln + x * ln) = on(x + -1) + -1ln(x + 1) (5ln + lnx) = on(x + -1) + -1ln(x + 1) Reorder the terms: 5ln + lnx = no(-1 + x) + -1ln(x + 1) 5ln + lnx = (-1 * no + x * no) + -1ln(x + 1) 5ln + lnx = (-1no + nox) + -1ln(x + 1) Reorder the terms: 5ln + lnx = -1no + nox + -1ln(1 + x) 5ln + lnx = -1no + nox + (1 * -1ln + x * -1ln) 5ln + lnx = -1no + nox + (-1ln + -1lnx) Reorder the terms: 5ln + lnx = -1ln + -1lnx + -1no + nox Solving 5ln + lnx = -1ln + -1lnx + -1no + nox Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'ln' to each side of the equation. 5ln + ln + lnx = -1ln + -1lnx + -1no + ln + nox Combine like terms: 5ln + ln = 6ln 6ln + lnx = -1ln + -1lnx + -1no + ln + nox Reorder the terms: 6ln + lnx = -1ln + ln + -1lnx + -1no + nox Combine like terms: -1ln + ln = 0 6ln + lnx = 0 + -1lnx + -1no + nox 6ln + lnx = -1lnx + -1no + nox Add 'lnx' to each side of the equation. 6ln + lnx + lnx = -1lnx + -1no + lnx + nox Combine like terms: lnx + lnx = 2lnx 6ln + 2lnx = -1lnx + -1no + lnx + nox Reorder the terms: 6ln + 2lnx = -1lnx + lnx + -1no + nox Combine like terms: -1lnx + lnx = 0 6ln + 2lnx = 0 + -1no + nox 6ln + 2lnx = -1no + nox Reorder the terms: 6ln + 2lnx + no + -1nox = -1no + no + nox + -1nox Combine like terms: -1no + no = 0 6ln + 2lnx + no + -1nox = 0 + nox + -1nox 6ln + 2lnx + no + -1nox = nox + -1nox Combine like terms: nox + -1nox = 0 6ln + 2lnx + no + -1nox = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(6l + 2lx + o + -1ox) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(6l + 2lx + o + -1ox)' equal to zero and attempt to solve: Simplifying 6l + 2lx + o + -1ox = 0 Solving 6l + 2lx + o + -1ox = 0 Move all terms containing l to the left, all other terms to the right. Add '-1o' to each side of the equation. 6l + 2lx + o + -1o + -1ox = 0 + -1o Combine like terms: o + -1o = 0 6l + 2lx + 0 + -1ox = 0 + -1o 6l + 2lx + -1ox = 0 + -1o Remove the zero: 6l + 2lx + -1ox = -1o Add 'ox' to each side of the equation. 6l + 2lx + -1ox + ox = -1o + ox Combine like terms: -1ox + ox = 0 6l + 2lx + 0 = -1o + ox 6l + 2lx = -1o + ox 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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