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Simplifying log(8x + 1) = 1 + log(x + -6) Reorder the terms: glo(1 + 8x) = 1 + log(x + -6) (1 * glo + 8x * glo) = 1 + log(x + -6) (1glo + 8glox) = 1 + log(x + -6) Reorder the terms: 1glo + 8glox = 1 + glo(-6 + x) 1glo + 8glox = 1 + (-6 * glo + x * glo) 1glo + 8glox = 1 + (-6glo + glox) Solving 1glo + 8glox = 1 + -6glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6glo' to each side of the equation. 1glo + 6glo + 8glox = 1 + -6glo + 6glo + glox Combine like terms: 1glo + 6glo = 7glo 7glo + 8glox = 1 + -6glo + 6glo + glox Combine like terms: -6glo + 6glo = 0 7glo + 8glox = 1 + 0 + glox 7glo + 8glox = 1 + glox Add '-1glox' to each side of the equation. 7glo + 8glox + -1glox = 1 + glox + -1glox Combine like terms: 8glox + -1glox = 7glox 7glo + 7glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 7glo + 7glox = 1 + 0 7glo + 7glox = 1 Reorder the terms: -1 + 7glo + 7glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7glo + 7glox = 0 The solution to this equation could not be determined.
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