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Simplifying (0.5x) * ln(0.5x) + (0.5x) * ln(3) = 0 Remove parenthesis around (0.5x) 0.5x * ln(0.5x) + (0.5x) * ln(3) = 0 Remove parenthesis around (0.5x) 0.5x * ln * 0.5x + (0.5x) * ln(3) = 0 Reorder the terms for easier multiplication: 0.5 * 0.5x * ln * x + (0.5x) * ln(3) = 0 Multiply 0.5 * 0.5 0.25x * ln * x + (0.5x) * ln(3) = 0 Multiply x * ln 0.25lnx * x + (0.5x) * ln(3) = 0 Multiply lnx * x 0.25lnx2 + (0.5x) * ln(3) = 0 Remove parenthesis around (0.5x) 0.25lnx2 + 0.5x * ln(3) = 0 Reorder the terms for easier multiplication: 0.25lnx2 + 0.5 * 3x * ln = 0 Multiply 0.5 * 3 0.25lnx2 + 1.5x * ln = 0 Multiply x * ln 0.25lnx2 + 1.5lnx = 0 Reorder the terms: 1.5lnx + 0.25lnx2 = 0 Solving 1.5lnx + 0.25lnx2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. The solution to this equation could not be determined.
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