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Simplifying ln(6x + 3) + -1ln(9x) = 5 Reorder the terms: ln(3 + 6x) + -1ln(9x) = 5 (3 * ln + 6x * ln) + -1ln(9x) = 5 (3ln + 6lnx) + -1ln(9x) = 5 Remove parenthesis around (9x) 3ln + 6lnx + -1ln * 9x = 5 Reorder the terms for easier multiplication: 3ln + 6lnx + -1 * 9ln * x = 5 Multiply -1 * 9 3ln + 6lnx + -9ln * x = 5 Multiply ln * x 3ln + 6lnx + -9lnx = 5 Combine like terms: 6lnx + -9lnx = -3lnx 3ln + -3lnx = 5 Solving 3ln + -3lnx = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -5 + 3ln + -3lnx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 3ln + -3lnx = 0 The solution to this equation could not be determined.
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