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Simplifying logx(2x + 3) + logx(x + -2) = 2 Reorder the terms: glox(3 + 2x) + logx(x + -2) = 2 (3 * glox + 2x * glox) + logx(x + -2) = 2 (3glox + 2glox2) + logx(x + -2) = 2 Reorder the terms: 3glox + 2glox2 + glox(-2 + x) = 2 3glox + 2glox2 + (-2 * glox + x * glox) = 2 3glox + 2glox2 + (-2glox + glox2) = 2 Reorder the terms: 3glox + -2glox + 2glox2 + glox2 = 2 Combine like terms: 3glox + -2glox = 1glox 1glox + 2glox2 + glox2 = 2 Combine like terms: 2glox2 + glox2 = 3glox2 1glox + 3glox2 = 2 Solving 1glox + 3glox2 = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 1glox + 3glox2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 1glox + 3glox2 = 0 The solution to this equation could not be determined.
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