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Simplifying ln(x + 6) = 2Inx Reorder the terms: ln(6 + x) = 2Inx (6 * ln + x * ln) = 2Inx (6ln + lnx) = 2Inx Solving 6ln + lnx = 2nxI Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Combine like terms: 2nxI + -2nxI = 0 6ln + lnx + -2nxI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(6l + lx + -2xI) = 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 + lx + -2xI)' equal to zero and attempt to solve: Simplifying 6l + lx + -2xI = 0 Solving 6l + lx + -2xI = 0 Move all terms containing l to the left, all other terms to the right. Add '2xI' to each side of the equation. 6l + lx + -2xI + 2xI = 0 + 2xI Combine like terms: -2xI + 2xI = 0 6l + lx + 0 = 0 + 2xI 6l + lx = 0 + 2xI Remove the zero: 6l + lx = 2xI 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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