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Simplifying log(5x + 8) + log(2x + 1) + -1log(2x + 2) = 1 Reorder the terms: glo(8 + 5x) + log(2x + 1) + -1log(2x + 2) = 1 (8 * glo + 5x * glo) + log(2x + 1) + -1log(2x + 2) = 1 (8glo + 5glox) + log(2x + 1) + -1log(2x + 2) = 1 Reorder the terms: 8glo + 5glox + glo(1 + 2x) + -1log(2x + 2) = 1 8glo + 5glox + (1 * glo + 2x * glo) + -1log(2x + 2) = 1 8glo + 5glox + (1glo + 2glox) + -1log(2x + 2) = 1 Reorder the terms: 8glo + 5glox + 1glo + 2glox + -1glo(2 + 2x) = 1 8glo + 5glox + 1glo + 2glox + (2 * -1glo + 2x * -1glo) = 1 8glo + 5glox + 1glo + 2glox + (-2glo + -2glox) = 1 Reorder the terms: 8glo + 1glo + -2glo + 5glox + 2glox + -2glox = 1 Combine like terms: 8glo + 1glo = 9glo 9glo + -2glo + 5glox + 2glox + -2glox = 1 Combine like terms: 9glo + -2glo = 7glo 7glo + 5glox + 2glox + -2glox = 1 Combine like terms: 5glox + 2glox = 7glox 7glo + 7glox + -2glox = 1 Combine like terms: 7glox + -2glox = 5glox 7glo + 5glox = 1 Solving 7glo + 5glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. 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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