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Simplifying Log(4x + 6) = 1 + log(x + -2) Reorder the terms: goL(6 + 4x) = 1 + log(x + -2) (6 * goL + 4x * goL) = 1 + log(x + -2) (6goL + 4goxL) = 1 + log(x + -2) Reorder the terms: 6goL + 4goxL = 1 + glo(-2 + x) 6goL + 4goxL = 1 + (-2 * glo + x * glo) 6goL + 4goxL = 1 + (-2glo + glox) Solving 6goL + 4goxL = 1 + -2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 6goL + 2glo + 4goxL = 1 + -2glo + 2glo + glox Reorder the terms: 2glo + 6goL + 4goxL = 1 + -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 2glo + 6goL + 4goxL = 1 + 0 + glox 2glo + 6goL + 4goxL = 1 + glox Add '-1glox' to each side of the equation. 2glo + 6goL + -1glox + 4goxL = 1 + glox + -1glox Reorder the terms: 2glo + -1glox + 6goL + 4goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + -1glox + 6goL + 4goxL = 1 + 0 2glo + -1glox + 6goL + 4goxL = 1 Reorder the terms: -1 + 2glo + -1glox + 6goL + 4goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 2glo + -1glox + 6goL + 4goxL = 0 The solution to this equation could not be determined.
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