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