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Simplifying ln(2x + 9) + ln(3) = 2ln(x) Reorder the terms: ln(9 + 2x) + ln(3) = 2ln(x) (9 * ln + 2x * ln) + ln(3) = 2ln(x) (9ln + 2lnx) + ln(3) = 2ln(x) Reorder the terms for easier multiplication: 9ln + 2lnx + 3ln = 2ln(x) Reorder the terms: 9ln + 3ln + 2lnx = 2ln(x) Combine like terms: 9ln + 3ln = 12ln 12ln + 2lnx = 2ln(x) Multiply ln * x 12ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. 12ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 12ln + 0 = 2lnx + -2lnx 12ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 12ln = 0 Solving 12ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '12'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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