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Simplifying ln(400) + 10xb = ln(680) + -40xb Reorder the terms for easier multiplication: 400ln + 10xb = ln(680) + -40xb Reorder the terms: 10bx + 400ln = ln(680) + -40xb Reorder the terms for easier multiplication: 10bx + 400ln = 680ln + -40xb Reorder the terms: 10bx + 400ln = -40bx + 680ln Solving 10bx + 400ln = -40bx + 680ln Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40bx' to each side of the equation. 10bx + 40bx + 400ln = -40bx + 40bx + 680ln Combine like terms: 10bx + 40bx = 50bx 50bx + 400ln = -40bx + 40bx + 680ln Combine like terms: -40bx + 40bx = 0 50bx + 400ln = 0 + 680ln 50bx + 400ln = 680ln Add '-400ln' to each side of the equation. 50bx + 400ln + -400ln = 680ln + -400ln Combine like terms: 400ln + -400ln = 0 50bx + 0 = 680ln + -400ln 50bx = 680ln + -400ln Combine like terms: 680ln + -400ln = 280ln 50bx = 280ln Divide each side by '50x'. b = 5.6lnx-1 Simplifying b = 5.6lnx-1
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