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Simplifying In(x) = 2In(3) Multiply nI * x nxI = 2In(3) Reorder the terms for easier multiplication: nxI = 2 * 3nI Multiply 2 * 3 nxI = 6nI Solving nxI = 6nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6nI' to each side of the equation. -6nI + nxI = 6nI + -6nI Combine like terms: 6nI + -6nI = 0 -6nI + nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-6 + x) = 0Subproblem 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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