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Simplifying Log(8x + 4) = 1 + log(x + 1) Reorder the terms: goL(4 + 8x) = 1 + log(x + 1) (4 * goL + 8x * goL) = 1 + log(x + 1) (4goL + 8goxL) = 1 + log(x + 1) Reorder the terms: 4goL + 8goxL = 1 + glo(1 + x) 4goL + 8goxL = 1 + (1 * glo + x * glo) 4goL + 8goxL = 1 + (1glo + glox) Solving 4goL + 8goxL = 1 + 1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glo' to each side of the equation. 4goL + -1glo + 8goxL = 1 + 1glo + -1glo + glox Reorder the terms: -1glo + 4goL + 8goxL = 1 + 1glo + -1glo + glox Combine like terms: 1glo + -1glo = 0 -1glo + 4goL + 8goxL = 1 + 0 + glox -1glo + 4goL + 8goxL = 1 + glox Add '-1glox' to each side of the equation. -1glo + 4goL + -1glox + 8goxL = 1 + glox + -1glox Reorder the terms: -1glo + -1glox + 4goL + 8goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 -1glo + -1glox + 4goL + 8goxL = 1 + 0 -1glo + -1glox + 4goL + 8goxL = 1 Reorder the terms: -1 + -1glo + -1glox + 4goL + 8goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -1glo + -1glox + 4goL + 8goxL = 0 The solution to this equation could not be determined.
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