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