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