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Simplifying Log(6x + 5) = 1 + log(x + -3) Reorder the terms: goL(5 + 6x) = 1 + log(x + -3) (5 * goL + 6x * goL) = 1 + log(x + -3) (5goL + 6goxL) = 1 + log(x + -3) Reorder the terms: 5goL + 6goxL = 1 + glo(-3 + x) 5goL + 6goxL = 1 + (-3 * glo + x * glo) 5goL + 6goxL = 1 + (-3glo + glox) Solving 5goL + 6goxL = 1 + -3glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. 5goL + 3glo + 6goxL = 1 + -3glo + 3glo + glox Reorder the terms: 3glo + 5goL + 6goxL = 1 + -3glo + 3glo + glox Combine like terms: -3glo + 3glo = 0 3glo + 5goL + 6goxL = 1 + 0 + glox 3glo + 5goL + 6goxL = 1 + glox Add '-1glox' to each side of the equation. 3glo + 5goL + -1glox + 6goxL = 1 + glox + -1glox Reorder the terms: 3glo + -1glox + 5goL + 6goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + -1glox + 5goL + 6goxL = 1 + 0 3glo + -1glox + 5goL + 6goxL = 1 Reorder the terms: -1 + 3glo + -1glox + 5goL + 6goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3glo + -1glox + 5goL + 6goxL = 0 The solution to this equation could not be determined.
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