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Simplifying 2lnx = ln * 3 + ln(2x + 3) Reorder the terms for easier multiplication: 2lnx = 3ln + ln(2x + 3) Reorder the terms: 2lnx = 3ln + ln(3 + 2x) 2lnx = 3ln + (3 * ln + 2x * ln) 2lnx = 3ln + (3ln + 2lnx) Combine like terms: 3ln + 3ln = 6ln 2lnx = 6ln + 2lnx Add '-2lnx' to each side of the equation. 2lnx + -2lnx = 6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 6ln + 0 0 = 6ln Solving 0 = 6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 0 + -6ln = 6ln + -6ln Remove the zero: -6ln = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 -6ln = 0 Divide each side by '-6'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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