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Simplifying log(5x + 8) = 1 + log(x + -8) Reorder the terms: glo(8 + 5x) = 1 + log(x + -8) (8 * glo + 5x * glo) = 1 + log(x + -8) (8glo + 5glox) = 1 + log(x + -8) Reorder the terms: 8glo + 5glox = 1 + glo(-8 + x) 8glo + 5glox = 1 + (-8 * glo + x * glo) 8glo + 5glox = 1 + (-8glo + glox) Solving 8glo + 5glox = 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. 8glo + 8glo + 5glox = 1 + -8glo + 8glo + glox Combine like terms: 8glo + 8glo = 16glo 16glo + 5glox = 1 + -8glo + 8glo + glox Combine like terms: -8glo + 8glo = 0 16glo + 5glox = 1 + 0 + glox 16glo + 5glox = 1 + glox Add '-1glox' to each side of the equation. 16glo + 5glox + -1glox = 1 + glox + -1glox Combine like terms: 5glox + -1glox = 4glox 16glo + 4glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 16glo + 4glox = 1 + 0 16glo + 4glox = 1 Reorder the terms: -1 + 16glo + 4glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 16glo + 4glox = 0 The solution to this equation could not be determined.
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