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Simplifying log(8x + 6) = 2 + log(x + 9) Reorder the terms: glo(6 + 8x) = 2 + log(x + 9) (6 * glo + 8x * glo) = 2 + log(x + 9) (6glo + 8glox) = 2 + log(x + 9) Reorder the terms: 6glo + 8glox = 2 + glo(9 + x) 6glo + 8glox = 2 + (9 * glo + x * glo) 6glo + 8glox = 2 + (9glo + glox) Solving 6glo + 8glox = 2 + 9glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. 6glo + -9glo + 8glox = 2 + 9glo + -9glo + glox Combine like terms: 6glo + -9glo = -3glo -3glo + 8glox = 2 + 9glo + -9glo + glox Combine like terms: 9glo + -9glo = 0 -3glo + 8glox = 2 + 0 + glox -3glo + 8glox = 2 + glox Add '-1glox' to each side of the equation. -3glo + 8glox + -1glox = 2 + glox + -1glox Combine like terms: 8glox + -1glox = 7glox -3glo + 7glox = 2 + glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + 7glox = 2 + 0 -3glo + 7glox = 2 Reorder the terms: -2 + -3glo + 7glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -3glo + 7glox = 0 The solution to this equation could not be determined.
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