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Simplifying ln(x + -1) + 1 = ln(x2 + -10x) Reorder the terms: ln(-1 + x) + 1 = ln(x2 + -10x) (-1 * ln + x * ln) + 1 = ln(x2 + -10x) (-1ln + lnx) + 1 = ln(x2 + -10x) Reorder the terms: 1 + -1ln + lnx = ln(x2 + -10x) Reorder the terms: 1 + -1ln + lnx = ln(-10x + x2) 1 + -1ln + lnx = (-10x * ln + x2 * ln) 1 + -1ln + lnx = (-10lnx + lnx2) Solving 1 + -1ln + lnx = -10lnx + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '10lnx' to each side of the equation. 1 + -1ln + lnx + 10lnx = -10lnx + 10lnx + lnx2 Combine like terms: lnx + 10lnx = 11lnx 1 + -1ln + 11lnx = -10lnx + 10lnx + lnx2 Combine like terms: -10lnx + 10lnx = 0 1 + -1ln + 11lnx = 0 + lnx2 1 + -1ln + 11lnx = lnx2 Add '-1lnx2' to each side of the equation. 1 + -1ln + 11lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 1 + -1ln + 11lnx + -1lnx2 = 0 Add '-1' to each side of the equation. 1 + -1ln + 11lnx + -1 + -1lnx2 = 0 + -1 Reorder the terms: 1 + -1 + -1ln + 11lnx + -1lnx2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ln + 11lnx + -1lnx2 = 0 + -1 -1ln + 11lnx + -1lnx2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1ln + 11lnx + -1lnx2 = -1 Reorder the terms: 1 + -1ln + 11lnx + -1lnx2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -1ln + 11lnx + -1lnx2 = 0 The solution to this equation could not be determined.
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