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Simplifying ln(x + -6) + 4 = ln(x + -6) + 3 Reorder the terms: ln(-6 + x) + 4 = ln(x + -6) + 3 (-6 * ln + x * ln) + 4 = ln(x + -6) + 3 (-6ln + lnx) + 4 = ln(x + -6) + 3 Reorder the terms: 4 + -6ln + lnx = ln(x + -6) + 3 Reorder the terms: 4 + -6ln + lnx = ln(-6 + x) + 3 4 + -6ln + lnx = (-6 * ln + x * ln) + 3 4 + -6ln + lnx = (-6ln + lnx) + 3 Reorder the terms: 4 + -6ln + lnx = 3 + -6ln + lnx Add '6ln' to each side of the equation. 4 + -6ln + 6ln + lnx = 3 + -6ln + 6ln + lnx Combine like terms: -6ln + 6ln = 0 4 + 0 + lnx = 3 + -6ln + 6ln + lnx 4 + lnx = 3 + -6ln + 6ln + lnx Combine like terms: -6ln + 6ln = 0 4 + lnx = 3 + 0 + lnx 4 + lnx = 3 + lnx Add '-1lnx' to each side of the equation. 4 + lnx + -1lnx = 3 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4 + 0 = 3 + lnx + -1lnx 4 = 3 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4 = 3 + 0 4 = 3 Solving 4 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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