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Simplifying log(3x + 5) + 3 = log(2x + 1) Reorder the terms: glo(5 + 3x) + 3 = log(2x + 1) (5 * glo + 3x * glo) + 3 = log(2x + 1) (5glo + 3glox) + 3 = log(2x + 1) Reorder the terms: 3 + 5glo + 3glox = log(2x + 1) Reorder the terms: 3 + 5glo + 3glox = glo(1 + 2x) 3 + 5glo + 3glox = (1 * glo + 2x * glo) 3 + 5glo + 3glox = (1glo + 2glox) Solving 3 + 5glo + 3glox = 1glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glo' to each side of the equation. 3 + 5glo + -1glo + 3glox = 1glo + -1glo + 2glox Combine like terms: 5glo + -1glo = 4glo 3 + 4glo + 3glox = 1glo + -1glo + 2glox Combine like terms: 1glo + -1glo = 0 3 + 4glo + 3glox = 0 + 2glox 3 + 4glo + 3glox = 2glox Add '-2glox' to each side of the equation. 3 + 4glo + 3glox + -2glox = 2glox + -2glox Combine like terms: 3glox + -2glox = 1glox 3 + 4glo + 1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 3 + 4glo + 1glox = 0 Add '-3' to each side of the equation. 3 + 4glo + -3 + 1glox = 0 + -3 Reorder the terms: 3 + -3 + 4glo + 1glox = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4glo + 1glox = 0 + -3 4glo + 1glox = 0 + -3 Combine like terms: 0 + -3 = -3 4glo + 1glox = -3 Reorder the terms: 3 + 4glo + 1glox = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 4glo + 1glox = 0 The solution to this equation could not be determined.
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