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Simplifying y = ln(3x + 1) * ln(5x + 1) Reorder the terms: y = ln(1 + 3x) * ln(5x + 1) Reorder the terms: y = ln(1 + 3x) * ln(1 + 5x) Reorder the terms for easier multiplication: y = ln * ln(1 + 3x)(1 + 5x) Multiply ln * ln y = l2n2(1 + 3x)(1 + 5x) Multiply (1 + 3x) * (1 + 5x) y = l2n2(1(1 + 5x) + 3x * (1 + 5x)) y = l2n2((1 * 1 + 5x * 1) + 3x * (1 + 5x)) y = l2n2((1 + 5x) + 3x * (1 + 5x)) y = l2n2(1 + 5x + (1 * 3x + 5x * 3x)) y = l2n2(1 + 5x + (3x + 15x2)) Combine like terms: 5x + 3x = 8x y = l2n2(1 + 8x + 15x2) y = (1 * l2n2 + 8x * l2n2 + 15x2 * l2n2) y = (1l2n2 + 8l2n2x + 15l2n2x2) Solving y = 1l2n2 + 8l2n2x + 15l2n2x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 1l2n2 + 8l2n2x + 15l2n2x2
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