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Simplifying ln(b + 7) = ln(6c + 8) Reorder the terms: ln(7 + b) = ln(6c + 8) (7 * ln + b * ln) = ln(6c + 8) Reorder the terms: (bln + 7ln) = ln(6c + 8) (bln + 7ln) = ln(6c + 8) Reorder the terms: bln + 7ln = ln(8 + 6c) bln + 7ln = (8 * ln + 6c * ln) Reorder the terms: bln + 7ln = (6cln + 8ln) bln + 7ln = (6cln + 8ln) Solving bln + 7ln = 6cln + 8ln Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7ln' to each side of the equation. bln + 7ln + -7ln = 6cln + 8ln + -7ln Combine like terms: 7ln + -7ln = 0 bln + 0 = 6cln + 8ln + -7ln bln = 6cln + 8ln + -7ln Combine like terms: 8ln + -7ln = 1ln bln = 6cln + 1ln Divide each side by 'ln'. b = 6c + 1 Simplifying b = 6c + 1 Reorder the terms: b = 1 + 6c
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