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Simplifying 2log(x) = log(2) + log(2x + 6) Multiply glo * x 2glox = log(2) + log(2x + 6) Reorder the terms for easier multiplication: 2glox = 2glo + log(2x + 6) Reorder the terms: 2glox = 2glo + glo(6 + 2x) 2glox = 2glo + (6 * glo + 2x * glo) 2glox = 2glo + (6glo + 2glox) Combine like terms: 2glo + 6glo = 8glo 2glox = 8glo + 2glox Add '-2glox' to each side of the equation. 2glox + -2glox = 8glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 8glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 8glo + 0 0 = 8glo Solving 0 = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 0 + -8glo = 8glo + -8glo Remove the zero: -8glo = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -8glo = 0 Divide each side by '-8'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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