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Simplifying log[3](x + 5) + -1log[3](2x + 3) = -1 Reorder the terms: glo * 3(5 + x) + -1log[3](2x + 3) = -1 Reorder the terms for easier multiplication: 3glo(5 + x) + -1log[3](2x + 3) = -1 (5 * 3glo + x * 3glo) + -1log[3](2x + 3) = -1 (15glo + 3glox) + -1log[3](2x + 3) = -1 Reorder the terms: 15glo + 3glox + -1glo * 3(3 + 2x) = -1 Reorder the terms for easier multiplication: 15glo + 3glox + -1 * 3glo(3 + 2x) = -1 Multiply -1 * 3 15glo + 3glox + -3glo(3 + 2x) = -1 15glo + 3glox + (3 * -3glo + 2x * -3glo) = -1 15glo + 3glox + (-9glo + -6glox) = -1 Reorder the terms: 15glo + -9glo + 3glox + -6glox = -1 Combine like terms: 15glo + -9glo = 6glo 6glo + 3glox + -6glox = -1 Combine like terms: 3glox + -6glox = -3glox 6glo + -3glox = -1 Solving 6glo + -3glox = -1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 1 + 6glo + -3glox = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 6glo + -3glox = 0 The solution to this equation could not be determined.
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