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Simplifying 1 + 2log(x + 1) = log(2x + 1) + log(5x + 8) Reorder the terms: 1 + 2glo(1 + x) = log(2x + 1) + log(5x + 8) 1 + (1 * 2glo + x * 2glo) = log(2x + 1) + log(5x + 8) 1 + (2glo + 2glox) = log(2x + 1) + log(5x + 8) Reorder the terms: 1 + 2glo + 2glox = glo(1 + 2x) + log(5x + 8) 1 + 2glo + 2glox = (1 * glo + 2x * glo) + log(5x + 8) 1 + 2glo + 2glox = (1glo + 2glox) + log(5x + 8) Reorder the terms: 1 + 2glo + 2glox = 1glo + 2glox + glo(8 + 5x) 1 + 2glo + 2glox = 1glo + 2glox + (8 * glo + 5x * glo) 1 + 2glo + 2glox = 1glo + 2glox + (8glo + 5glox) Reorder the terms: 1 + 2glo + 2glox = 1glo + 8glo + 2glox + 5glox Combine like terms: 1glo + 8glo = 9glo 1 + 2glo + 2glox = 9glo + 2glox + 5glox Combine like terms: 2glox + 5glox = 7glox 1 + 2glo + 2glox = 9glo + 7glox Solving 1 + 2glo + 2glox = 9glo + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. 1 + 2glo + -9glo + 2glox = 9glo + -9glo + 7glox Combine like terms: 2glo + -9glo = -7glo 1 + -7glo + 2glox = 9glo + -9glo + 7glox Combine like terms: 9glo + -9glo = 0 1 + -7glo + 2glox = 0 + 7glox 1 + -7glo + 2glox = 7glox Add '-7glox' to each side of the equation. 1 + -7glo + 2glox + -7glox = 7glox + -7glox Combine like terms: 2glox + -7glox = -5glox 1 + -7glo + -5glox = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 1 + -7glo + -5glox = 0 Add '-1' to each side of the equation. 1 + -7glo + -1 + -5glox = 0 + -1 Reorder the terms: 1 + -1 + -7glo + -5glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7glo + -5glox = 0 + -1 -7glo + -5glox = 0 + -1 Combine like terms: 0 + -1 = -1 -7glo + -5glox = -1 Reorder the terms: 1 + -7glo + -5glox = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -7glo + -5glox = 0 The solution to this equation could not be determined.
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