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Simplifying (0.5) * ln(x) = ln(2x + -6) Multiply ln * x 0.5lnx = ln(2x + -6) Reorder the terms: 0.5lnx = ln(-6 + 2x) 0.5lnx = (-6 * ln + 2x * ln) 0.5lnx = (-6ln + 2lnx) Solving 0.5lnx = -6ln + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6ln' to each side of the equation. 6ln + 0.5lnx = -6ln + 6ln + 2lnx Combine like terms: -6ln + 6ln = 0 6ln + 0.5lnx = 0 + 2lnx 6ln + 0.5lnx = 2lnx Add '-2lnx' to each side of the equation. 6ln + 0.5lnx + -2lnx = 2lnx + -2lnx Combine like terms: 0.5lnx + -2lnx = -1.5lnx 6ln + -1.5lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 6ln + -1.5lnx = 0 The solution to this equation could not be determined.
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