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Simplifying log(2 + b) = log(3c + -3) (2 * glo + b * glo) = log(3c + -3) Reorder the terms: (bglo + 2glo) = log(3c + -3) (bglo + 2glo) = log(3c + -3) Reorder the terms: bglo + 2glo = glo(-3 + 3c) bglo + 2glo = (-3 * glo + 3c * glo) Reorder the terms: bglo + 2glo = (3cglo + -3glo) bglo + 2glo = (3cglo + -3glo) Solving bglo + 2glo = 3cglo + -3glo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2glo' to each side of the equation. bglo + 2glo + -2glo = 3cglo + -3glo + -2glo Combine like terms: 2glo + -2glo = 0 bglo + 0 = 3cglo + -3glo + -2glo bglo = 3cglo + -3glo + -2glo Combine like terms: -3glo + -2glo = -5glo bglo = 3cglo + -5glo Divide each side by 'glo'. b = 3c + -5 Simplifying b = 3c + -5 Reorder the terms: b = -5 + 3c
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