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Simplifying ln(x + 1) + -1ln(x) = ln(1) Reorder the terms: ln(1 + x) + -1ln(x) = ln(1) (1 * ln + x * ln) + -1ln(x) = ln(1) (1ln + lnx) + -1ln(x) = ln(1) Multiply ln * x 1ln + lnx + -1lnx = ln(1) Combine like terms: lnx + -1lnx = 0 1ln + 0 = ln(1) 1ln = ln(1) Reorder the terms for easier multiplication: 1ln = 1ln Add '-1ln' to each side of the equation. 1ln + -1ln = 1ln + -1ln Combine like terms: 1ln + -1ln = 0 0 = 1ln + -1ln Combine like terms: 1ln + -1ln = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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