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Simplifying Log(5x + 3) = 1 + log(x + -9) Reorder the terms: goL(3 + 5x) = 1 + log(x + -9) (3 * goL + 5x * goL) = 1 + log(x + -9) (3goL + 5goxL) = 1 + log(x + -9) Reorder the terms: 3goL + 5goxL = 1 + glo(-9 + x) 3goL + 5goxL = 1 + (-9 * glo + x * glo) 3goL + 5goxL = 1 + (-9glo + glox) Solving 3goL + 5goxL = 1 + -9glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '9glo' to each side of the equation. 3goL + 9glo + 5goxL = 1 + -9glo + 9glo + glox Reorder the terms: 9glo + 3goL + 5goxL = 1 + -9glo + 9glo + glox Combine like terms: -9glo + 9glo = 0 9glo + 3goL + 5goxL = 1 + 0 + glox 9glo + 3goL + 5goxL = 1 + glox Add '-1glox' to each side of the equation. 9glo + 3goL + -1glox + 5goxL = 1 + glox + -1glox Reorder the terms: 9glo + -1glox + 3goL + 5goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 9glo + -1glox + 3goL + 5goxL = 1 + 0 9glo + -1glox + 3goL + 5goxL = 1 Reorder the terms: -1 + 9glo + -1glox + 3goL + 5goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 9glo + -1glox + 3goL + 5goxL = 0 The solution to this equation could not be determined.
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