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Simplifying log(4x + 1) = 1 + log(x + -8) Reorder the terms: glo(1 + 4x) = 1 + log(x + -8) (1 * glo + 4x * glo) = 1 + log(x + -8) (1glo + 4glox) = 1 + log(x + -8) Reorder the terms: 1glo + 4glox = 1 + glo(-8 + x) 1glo + 4glox = 1 + (-8 * glo + x * glo) 1glo + 4glox = 1 + (-8glo + glox) Solving 1glo + 4glox = 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. 1glo + 8glo + 4glox = 1 + -8glo + 8glo + glox Combine like terms: 1glo + 8glo = 9glo 9glo + 4glox = 1 + -8glo + 8glo + glox Combine like terms: -8glo + 8glo = 0 9glo + 4glox = 1 + 0 + glox 9glo + 4glox = 1 + glox Add '-1glox' to each side of the equation. 9glo + 4glox + -1glox = 1 + glox + -1glox Combine like terms: 4glox + -1glox = 3glox 9glo + 3glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 9glo + 3glox = 1 + 0 9glo + 3glox = 1 Reorder the terms: -1 + 9glo + 3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 9glo + 3glox = 0 The solution to this equation could not be determined.
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