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Simplifying xln(3) + -1(x2) * ln(3) = -1xln(81) Reorder the terms for easier multiplication: 3lnx + -1(x2) * ln(3) = -1xln(81) Reorder the terms for easier multiplication: 3lnx + -1 * 3x2 * ln = -1xln(81) Multiply -1 * 3 3lnx + -3x2 * ln = -1xln(81) Multiply x2 * ln 3lnx + -3lnx2 = -1xln(81) Reorder the terms for easier multiplication: 3lnx + -3lnx2 = -1 * 81lnx Multiply -1 * 81 3lnx + -3lnx2 = -81lnx Solving 3lnx + -3lnx2 = -81lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '81lnx' to each side of the equation. 3lnx + 81lnx + -3lnx2 = -81lnx + 81lnx Combine like terms: 3lnx + 81lnx = 84lnx 84lnx + -3lnx2 = -81lnx + 81lnx Combine like terms: -81lnx + 81lnx = 0 84lnx + -3lnx2 = 0 Factor out the Greatest Common Factor (GCF), '3lnx'. 3lnx(28 + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Add 'x' to each side of the equation. -1x + x = -28 + x Combine like terms: -1x + x = 0 0 = -28 + x Simplifying 0 = -28 + x 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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