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Simplifying Ln(x + -6) + ln(x + -8) = ln(9) Reorder the terms: nL(-6 + x) + ln(x + -8) = ln(9) (-6 * nL + x * nL) + ln(x + -8) = ln(9) (-6nL + nxL) + ln(x + -8) = ln(9) Reorder the terms: -6nL + nxL + ln(-8 + x) = ln(9) -6nL + nxL + (-8 * ln + x * ln) = ln(9) -6nL + nxL + (-8ln + lnx) = ln(9) Reorder the terms: -8ln + lnx + -6nL + nxL = ln(9) Reorder the terms for easier multiplication: -8ln + lnx + -6nL + nxL = 9ln Solving -8ln + lnx + -6nL + nxL = 9ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9ln' to each side of the equation. -8ln + lnx + -6nL + -9ln + nxL = 9ln + -9ln Reorder the terms: -8ln + -9ln + lnx + -6nL + nxL = 9ln + -9ln Combine like terms: -8ln + -9ln = -17ln -17ln + lnx + -6nL + nxL = 9ln + -9ln Combine like terms: 9ln + -9ln = 0 -17ln + lnx + -6nL + nxL = 0 Add '6nL' to each side of the equation. -17ln + lnx + -6nL + 6nL + nxL = 0 + 6nL Combine like terms: -6nL + 6nL = 0 -17ln + lnx + 0 + nxL = 0 + 6nL -17ln + lnx + nxL = 0 + 6nL Remove the zero: -17ln + lnx + nxL = 6nL Add '-1nxL' to each side of the equation. -17ln + lnx + nxL + -1nxL = 6nL + -1nxL Combine like terms: nxL + -1nxL = 0 -17ln + lnx + 0 = 6nL + -1nxL -17ln + lnx = 6nL + -1nxL Reorder the terms: -17ln + lnx + -6nL + nxL = 6nL + -6nL + -1nxL + nxL Combine like terms: 6nL + -6nL = 0 -17ln + lnx + -6nL + nxL = 0 + -1nxL + nxL -17ln + lnx + -6nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -17ln + lnx + -6nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-17l + lx + -6L + xL) = 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 '(-17l + lx + -6L + xL)' equal to zero and attempt to solve: Simplifying -17l + lx + -6L + xL = 0 Reorder the terms: -6L + -17l + lx + xL = 0 Solving -6L + -17l + lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '6L' to each side of the equation. -6L + -17l + lx + 6L + xL = 0 + 6L Reorder the terms: -6L + 6L + -17l + lx + xL = 0 + 6L Combine like terms: -6L + 6L = 0 0 + -17l + lx + xL = 0 + 6L -17l + lx + xL = 0 + 6L Remove the zero: -17l + lx + xL = 6L Add '-1xL' to each side of the equation. -17l + lx + xL + -1xL = 6L + -1xL Combine like terms: xL + -1xL = 0 -17l + lx + 0 = 6L + -1xL -17l + lx = 6L + -1xL 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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