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