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