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Simplifying Ln(x) + ln(x + -2) = ln(9 + -2x) Multiply nL * x nxL + ln(x + -2) = ln(9 + -2x) Reorder the terms: nxL + ln(-2 + x) = ln(9 + -2x) nxL + (-2 * ln + x * ln) = ln(9 + -2x) nxL + (-2ln + lnx) = ln(9 + -2x) Reorder the terms: -2ln + lnx + nxL = ln(9 + -2x) -2ln + lnx + nxL = (9 * ln + -2x * ln) -2ln + lnx + nxL = (9ln + -2lnx) Solving -2ln + lnx + nxL = 9ln + -2lnx 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. -2ln + lnx + -9ln + nxL = 9ln + -9ln + -2lnx Reorder the terms: -2ln + -9ln + lnx + nxL = 9ln + -9ln + -2lnx Combine like terms: -2ln + -9ln = -11ln -11ln + lnx + nxL = 9ln + -9ln + -2lnx Combine like terms: 9ln + -9ln = 0 -11ln + lnx + nxL = 0 + -2lnx -11ln + lnx + nxL = -2lnx Add '2lnx' to each side of the equation. -11ln + lnx + 2lnx + nxL = -2lnx + 2lnx Combine like terms: lnx + 2lnx = 3lnx -11ln + 3lnx + nxL = -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 -11ln + 3lnx + nxL = 0 Add '-1nxL' to each side of the equation. -11ln + 3lnx + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 -11ln + 3lnx + 0 = 0 + -1nxL -11ln + 3lnx = 0 + -1nxL Remove the zero: -11ln + 3lnx = -1nxL Combine like terms: -1nxL + nxL = 0 -11ln + 3lnx + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-11l + 3lx + 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 '(-11l + 3lx + xL)' equal to zero and attempt to solve: Simplifying -11l + 3lx + xL = 0 Solving -11l + 3lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xL' to each side of the equation. -11l + 3lx + xL + -1xL = 0 + -1xL Combine like terms: xL + -1xL = 0 -11l + 3lx + 0 = 0 + -1xL -11l + 3lx = 0 + -1xL Remove the zero: -11l + 3lx = -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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