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Simplifying ln(3) + ln(x) + -1ln(x2 + -4) = 0 Reorder the terms for easier multiplication: 3ln + ln(x) + -1ln(x2 + -4) = 0 Multiply ln * x 3ln + lnx + -1ln(x2 + -4) = 0 Reorder the terms: 3ln + lnx + -1ln(-4 + x2) = 0 3ln + lnx + (-4 * -1ln + x2 * -1ln) = 0 3ln + lnx + (4ln + -1lnx2) = 0 Reorder the terms: 3ln + 4ln + lnx + -1lnx2 = 0 Combine like terms: 3ln + 4ln = 7ln 7ln + lnx + -1lnx2 = 0 Solving 7ln + lnx + -1lnx2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(7 + x + -1x2) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(7 + x + -1x2)' equal to zero and attempt to solve: Simplifying 7 + x + -1x2 = 0 Solving 7 + x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + x + -7 + -1x2 = 0 + -7 Reorder the terms: 7 + -7 + x + -1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x + -1x2 = 0 + -7 x + -1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x + -1x2 = -7 Add '-1x' to each side of the equation. x + -1x + -1x2 = -7 + -1x Combine like terms: x + -1x = 0 0 + -1x2 = -7 + -1x -1x2 = -7 + -1x Add 'x2' to each side of the equation. -1x2 + x2 = -7 + -1x + x2 Combine like terms: -1x2 + x2 = 0 0 = -7 + -1x + x2 Simplifying 0 = -7 + -1x + x2 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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