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Simplifying 2log(x + 1) = log(2x + 13) Reorder the terms: 2glo(1 + x) = log(2x + 13) (1 * 2glo + x * 2glo) = log(2x + 13) (2glo + 2glox) = log(2x + 13) Reorder the terms: 2glo + 2glox = glo(13 + 2x) 2glo + 2glox = (13 * glo + 2x * glo) 2glo + 2glox = (13glo + 2glox) Add '-2glox' to each side of the equation. 2glo + 2glox + -2glox = 13glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 2glo + 0 = 13glo + 2glox + -2glox 2glo = 13glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 2glo = 13glo + 0 2glo = 13glo Solving 2glo = 13glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 2glo + -13glo = 13glo + -13glo Combine like terms: 2glo + -13glo = -11glo -11glo = 13glo + -13glo Combine like terms: 13glo + -13glo = 0 -11glo = 0 Divide each side by '-11'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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