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Simplifying log(4x + 6) = 1 + log(x + -1) Reorder the terms: glo(6 + 4x) = 1 + log(x + -1) (6 * glo + 4x * glo) = 1 + log(x + -1) (6glo + 4glox) = 1 + log(x + -1) Reorder the terms: 6glo + 4glox = 1 + glo(-1 + x) 6glo + 4glox = 1 + (-1 * glo + x * glo) 6glo + 4glox = 1 + (-1glo + glox) Solving 6glo + 4glox = 1 + -1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. 6glo + glo + 4glox = 1 + -1glo + glo + glox Combine like terms: 6glo + glo = 7glo 7glo + 4glox = 1 + -1glo + glo + glox Combine like terms: -1glo + glo = 0 7glo + 4glox = 1 + 0 + glox 7glo + 4glox = 1 + glox Add '-1glox' to each side of the equation. 7glo + 4glox + -1glox = 1 + glox + -1glox Combine like terms: 4glox + -1glox = 3glox 7glo + 3glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 7glo + 3glox = 1 + 0 7glo + 3glox = 1 Reorder the terms: -1 + 7glo + 3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7glo + 3glox = 0 The solution to this equation could not be determined.
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