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Simplifying ln(2x) = ln(3) + 2ln(x + 1) Remove parenthesis around (2x) ln * 2x = ln(3) + 2ln(x + 1) Reorder the terms for easier multiplication: 2ln * x = ln(3) + 2ln(x + 1) Multiply ln * x 2lnx = ln(3) + 2ln(x + 1) Reorder the terms for easier multiplication: 2lnx = 3ln + 2ln(x + 1) Reorder the terms: 2lnx = 3ln + 2ln(1 + x) 2lnx = 3ln + (1 * 2ln + x * 2ln) 2lnx = 3ln + (2ln + 2lnx) Combine like terms: 3ln + 2ln = 5ln 2lnx = 5ln + 2lnx Add '-2lnx' to each side of the equation. 2lnx + -2lnx = 5ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 5ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 5ln + 0 0 = 5ln Solving 0 = 5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 0 + -5ln = 5ln + -5ln Remove the zero: -5ln = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 -5ln = 0 Divide each side by '-5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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