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Simplifying log(13x + 2) + -1log(x) = log(x + 2) Reorder the terms: glo(2 + 13x) + -1log(x) = log(x + 2) (2 * glo + 13x * glo) + -1log(x) = log(x + 2) (2glo + 13glox) + -1log(x) = log(x + 2) Multiply glo * x 2glo + 13glox + -1glox = log(x + 2) Combine like terms: 13glox + -1glox = 12glox 2glo + 12glox = log(x + 2) Reorder the terms: 2glo + 12glox = glo(2 + x) 2glo + 12glox = (2 * glo + x * glo) 2glo + 12glox = (2glo + glox) Add '-2glo' to each side of the equation. 2glo + -2glo + 12glox = 2glo + -2glo + glox Combine like terms: 2glo + -2glo = 0 0 + 12glox = 2glo + -2glo + glox 12glox = 2glo + -2glo + glox Combine like terms: 2glo + -2glo = 0 12glox = 0 + glox 12glox = glox Solving 12glox = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 12glox + -1glox = glox + -1glox Combine like terms: 12glox + -1glox = 11glox 11glox = glox + -1glox Combine like terms: glox + -1glox = 0 11glox = 0 Divide each side by '11'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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