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Simplifying log(4b + 8) = log(5b + 4) Reorder the terms: glo(8 + 4b) = log(5b + 4) (8 * glo + 4b * glo) = log(5b + 4) Reorder the terms: (4bglo + 8glo) = log(5b + 4) (4bglo + 8glo) = log(5b + 4) Reorder the terms: 4bglo + 8glo = glo(4 + 5b) 4bglo + 8glo = (4 * glo + 5b * glo) Reorder the terms: 4bglo + 8glo = (5bglo + 4glo) 4bglo + 8glo = (5bglo + 4glo) Solving 4bglo + 8glo = 5bglo + 4glo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5bglo' to each side of the equation. 4bglo + -5bglo + 8glo = 5bglo + -5bglo + 4glo Combine like terms: 4bglo + -5bglo = -1bglo -1bglo + 8glo = 5bglo + -5bglo + 4glo Combine like terms: 5bglo + -5bglo = 0 -1bglo + 8glo = 0 + 4glo -1bglo + 8glo = 4glo Add '-8glo' to each side of the equation. -1bglo + 8glo + -8glo = 4glo + -8glo Combine like terms: 8glo + -8glo = 0 -1bglo + 0 = 4glo + -8glo -1bglo = 4glo + -8glo Combine like terms: 4glo + -8glo = -4glo -1bglo = -4glo Divide each side by '-1glo'. b = 4 Simplifying b = 4
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