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Simplifying lnx + -3 = [ln(x2 + -9) + -1ln(x + 3)] Reorder the terms: -3 + lnx = [ln(x2 + -9) + -1ln(x + 3)] Reorder the terms: -3 + lnx = [ln(-9 + x2) + -1ln(x + 3)] -3 + lnx = [(-9 * ln + x2 * ln) + -1ln(x + 3)] -3 + lnx = [(-9ln + lnx2) + -1ln(x + 3)] Reorder the terms: -3 + lnx = [-9ln + lnx2 + -1ln(3 + x)] -3 + lnx = [-9ln + lnx2 + (3 * -1ln + x * -1ln)] -3 + lnx = [-9ln + lnx2 + (-3ln + -1lnx)] Reorder the terms: -3 + lnx = [-9ln + -3ln + -1lnx + lnx2] Combine like terms: -9ln + -3ln = -12ln -3 + lnx = [-12ln + -1lnx + lnx2] Remove brackets around [-12ln + -1lnx + lnx2] -3 + lnx = -12ln + -1lnx + lnx2 Solving -3 + lnx = -12ln + -1lnx + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '12ln' to each side of the equation. -3 + 12ln + lnx = -12ln + -1lnx + 12ln + lnx2 Reorder the terms: -3 + 12ln + lnx = -12ln + 12ln + -1lnx + lnx2 Combine like terms: -12ln + 12ln = 0 -3 + 12ln + lnx = 0 + -1lnx + lnx2 -3 + 12ln + lnx = -1lnx + lnx2 Add 'lnx' to each side of the equation. -3 + 12ln + lnx + lnx = -1lnx + lnx + lnx2 Combine like terms: lnx + lnx = 2lnx -3 + 12ln + 2lnx = -1lnx + lnx + lnx2 Combine like terms: -1lnx + lnx = 0 -3 + 12ln + 2lnx = 0 + lnx2 -3 + 12ln + 2lnx = lnx2 Add '-1lnx2' to each side of the equation. -3 + 12ln + 2lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 -3 + 12ln + 2lnx + -1lnx2 = 0 Add '3' to each side of the equation. -3 + 12ln + 2lnx + 3 + -1lnx2 = 0 + 3 Reorder the terms: -3 + 3 + 12ln + 2lnx + -1lnx2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12ln + 2lnx + -1lnx2 = 0 + 3 12ln + 2lnx + -1lnx2 = 0 + 3 Combine like terms: 0 + 3 = 3 12ln + 2lnx + -1lnx2 = 3 Reorder the terms: -3 + 12ln + 2lnx + -1lnx2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 12ln + 2lnx + -1lnx2 = 0 The solution to this equation could not be determined.
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