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Simplifying Log(2x + 3) = 1 + log(x + -8) Reorder the terms: goL(3 + 2x) = 1 + log(x + -8) (3 * goL + 2x * goL) = 1 + log(x + -8) (3goL + 2goxL) = 1 + log(x + -8) Reorder the terms: 3goL + 2goxL = 1 + glo(-8 + x) 3goL + 2goxL = 1 + (-8 * glo + x * glo) 3goL + 2goxL = 1 + (-8glo + glox) Solving 3goL + 2goxL = 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. 3goL + 8glo + 2goxL = 1 + -8glo + 8glo + glox Reorder the terms: 8glo + 3goL + 2goxL = 1 + -8glo + 8glo + glox Combine like terms: -8glo + 8glo = 0 8glo + 3goL + 2goxL = 1 + 0 + glox 8glo + 3goL + 2goxL = 1 + glox Add '-1glox' to each side of the equation. 8glo + 3goL + -1glox + 2goxL = 1 + glox + -1glox Reorder the terms: 8glo + -1glox + 3goL + 2goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 8glo + -1glox + 3goL + 2goxL = 1 + 0 8glo + -1glox + 3goL + 2goxL = 1 Reorder the terms: -1 + 8glo + -1glox + 3goL + 2goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 8glo + -1glox + 3goL + 2goxL = 0 The solution to this equation could not be determined.
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