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Simplifying Log(13x + 2) = 1 + log(x + 8) Reorder the terms: goL(2 + 13x) = 1 + log(x + 8) (2 * goL + 13x * goL) = 1 + log(x + 8) (2goL + 13goxL) = 1 + log(x + 8) Reorder the terms: 2goL + 13goxL = 1 + glo(8 + x) 2goL + 13goxL = 1 + (8 * glo + x * glo) 2goL + 13goxL = 1 + (8glo + glox) Solving 2goL + 13goxL = 1 + 8glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 2goL + -8glo + 13goxL = 1 + 8glo + -8glo + glox Reorder the terms: -8glo + 2goL + 13goxL = 1 + 8glo + -8glo + glox Combine like terms: 8glo + -8glo = 0 -8glo + 2goL + 13goxL = 1 + 0 + glox -8glo + 2goL + 13goxL = 1 + glox Add '-1glox' to each side of the equation. -8glo + 2goL + -1glox + 13goxL = 1 + glox + -1glox Reorder the terms: -8glo + -1glox + 2goL + 13goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 -8glo + -1glox + 2goL + 13goxL = 1 + 0 -8glo + -1glox + 2goL + 13goxL = 1 Reorder the terms: -1 + -8glo + -1glox + 2goL + 13goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -8glo + -1glox + 2goL + 13goxL = 0 The solution to this equation could not be determined.
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