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Simplifying ln(8x + 5) + -1ln(4x) = 8 Reorder the terms: ln(5 + 8x) + -1ln(4x) = 8 (5 * ln + 8x * ln) + -1ln(4x) = 8 (5ln + 8lnx) + -1ln(4x) = 8 Remove parenthesis around (4x) 5ln + 8lnx + -1ln * 4x = 8 Reorder the terms for easier multiplication: 5ln + 8lnx + -1 * 4ln * x = 8 Multiply -1 * 4 5ln + 8lnx + -4ln * x = 8 Multiply ln * x 5ln + 8lnx + -4lnx = 8 Combine like terms: 8lnx + -4lnx = 4lnx 5ln + 4lnx = 8 Solving 5ln + 4lnx = 8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -8 + 5ln + 4lnx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 5ln + 4lnx = 0 The solution to this equation could not be determined.
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