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Simplifying log(5x + -3) + -1logx = log(7 + 5x) + -1log(x + 2) Reorder the terms: glo(-3 + 5x) + -1logx = log(7 + 5x) + -1log(x + 2) (-3 * glo + 5x * glo) + -1logx = log(7 + 5x) + -1log(x + 2) (-3glo + 5glox) + -1logx = log(7 + 5x) + -1log(x + 2) Combine like terms: 5glox + -1glox = 4glox -3glo + 4glox = log(7 + 5x) + -1log(x + 2) -3glo + 4glox = (7 * glo + 5x * glo) + -1log(x + 2) -3glo + 4glox = (7glo + 5glox) + -1log(x + 2) Reorder the terms: -3glo + 4glox = 7glo + 5glox + -1glo(2 + x) -3glo + 4glox = 7glo + 5glox + (2 * -1glo + x * -1glo) -3glo + 4glox = 7glo + 5glox + (-2glo + -1glox) Reorder the terms: -3glo + 4glox = 7glo + -2glo + 5glox + -1glox Combine like terms: 7glo + -2glo = 5glo -3glo + 4glox = 5glo + 5glox + -1glox Combine like terms: 5glox + -1glox = 4glox -3glo + 4glox = 5glo + 4glox Add '-4glox' to each side of the equation. -3glo + 4glox + -4glox = 5glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -3glo + 0 = 5glo + 4glox + -4glox -3glo = 5glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -3glo = 5glo + 0 -3glo = 5glo Solving -3glo = 5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. -3glo + -5glo = 5glo + -5glo Combine like terms: -3glo + -5glo = -8glo -8glo = 5glo + -5glo Combine like terms: 5glo + -5glo = 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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