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