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Simplifying ln(2x + 5) + -1ln(x + 6) = ln(x) Reorder the terms: ln(5 + 2x) + -1ln(x + 6) = ln(x) (5 * ln + 2x * ln) + -1ln(x + 6) = ln(x) (5ln + 2lnx) + -1ln(x + 6) = ln(x) Reorder the terms: 5ln + 2lnx + -1ln(6 + x) = ln(x) 5ln + 2lnx + (6 * -1ln + x * -1ln) = ln(x) 5ln + 2lnx + (-6ln + -1lnx) = ln(x) Reorder the terms: 5ln + -6ln + 2lnx + -1lnx = ln(x) Combine like terms: 5ln + -6ln = -1ln -1ln + 2lnx + -1lnx = ln(x) Combine like terms: 2lnx + -1lnx = 1lnx -1ln + 1lnx = ln(x) Multiply ln * x -1ln + 1lnx = lnx Solving -1ln + 1lnx = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -1ln + 1lnx + -1lnx = lnx + -1lnx Combine like terms: 1lnx + -1lnx = 0 -1ln + 0 = lnx + -1lnx -1ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln = 0 Divide each side by '-1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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