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Simplifying log(8x + -22) = 2 + (log(x + -4)) Reorder the terms: glo(-22 + 8x) = 2 + (log(x + -4)) (-22 * glo + 8x * glo) = 2 + (log(x + -4)) (-22glo + 8glox) = 2 + (log(x + -4)) Reorder the terms: -22glo + 8glox = 2 + (glo(-4 + x)) -22glo + 8glox = 2 + ((-4 * glo + x * glo)) -22glo + 8glox = 2 + ((-4glo + glox)) -22glo + 8glox = 2 + (-4glo + glox) Remove parenthesis around (-4glo + glox) -22glo + 8glox = 2 + -4glo + glox Solving -22glo + 8glox = 2 + -4glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4glo' to each side of the equation. -22glo + 4glo + 8glox = 2 + -4glo + 4glo + glox Combine like terms: -22glo + 4glo = -18glo -18glo + 8glox = 2 + -4glo + 4glo + glox Combine like terms: -4glo + 4glo = 0 -18glo + 8glox = 2 + 0 + glox -18glo + 8glox = 2 + glox Add '-1glox' to each side of the equation. -18glo + 8glox + -1glox = 2 + glox + -1glox Combine like terms: 8glox + -1glox = 7glox -18glo + 7glox = 2 + glox + -1glox Combine like terms: glox + -1glox = 0 -18glo + 7glox = 2 + 0 -18glo + 7glox = 2 Reorder the terms: -2 + -18glo + 7glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -18glo + 7glox = 0 The solution to this equation could not be determined.
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