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Simplifying 2In(x) = In(72) + -1In(2) Multiply nI * x 2nxI = In(72) + -1In(2) Reorder the terms for easier multiplication: 2nxI = 72nI + -1In(2) Reorder the terms for easier multiplication: 2nxI = 72nI + -1 * 2nI Multiply -1 * 2 2nxI = 72nI + -2nI Combine like terms: 72nI + -2nI = 70nI 2nxI = 70nI Solving 2nxI = 70nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70nI' to each side of the equation. -70nI + 2nxI = 70nI + -70nI Combine like terms: 70nI + -70nI = 0 -70nI + 2nxI = 0 Factor out the Greatest Common Factor (GCF), '2nI'. 2nI(-35 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 0 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 '(-35 + x)' equal to zero and attempt to solve: Simplifying -35 + x = 0 Solving -35 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + x = 0 + 35 x = 0 + 35 Combine like terms: 0 + 35 = 35 x = 35 Add '-1x' to each side of the equation. x + -1x = 35 + -1x Combine like terms: x + -1x = 0 0 = 35 + -1x Simplifying 0 = 35 + -1x 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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