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Simplifying log(4x + 9) = 2log(2x + -3) Reorder the terms: glo(9 + 4x) = 2log(2x + -3) (9 * glo + 4x * glo) = 2log(2x + -3) (9glo + 4glox) = 2log(2x + -3) Reorder the terms: 9glo + 4glox = 2glo(-3 + 2x) 9glo + 4glox = (-3 * 2glo + 2x * 2glo) 9glo + 4glox = (-6glo + 4glox) Add '-4glox' to each side of the equation. 9glo + 4glox + -4glox = -6glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 9glo + 0 = -6glo + 4glox + -4glox 9glo = -6glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 9glo = -6glo + 0 9glo = -6glo Solving 9glo = -6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6glo' to each side of the equation. 9glo + 6glo = -6glo + 6glo Combine like terms: 9glo + 6glo = 15glo 15glo = -6glo + 6glo Combine like terms: -6glo + 6glo = 0 15glo = 0 Divide each side by '15'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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