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