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Simplifying Log(17x + -6) = 1 + log(6x + -3) Reorder the terms: goL(-6 + 17x) = 1 + log(6x + -3) (-6 * goL + 17x * goL) = 1 + log(6x + -3) (-6goL + 17goxL) = 1 + log(6x + -3) Reorder the terms: -6goL + 17goxL = 1 + glo(-3 + 6x) -6goL + 17goxL = 1 + (-3 * glo + 6x * glo) -6goL + 17goxL = 1 + (-3glo + 6glox) Solving -6goL + 17goxL = 1 + -3glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. -6goL + 3glo + 17goxL = 1 + -3glo + 3glo + 6glox Reorder the terms: 3glo + -6goL + 17goxL = 1 + -3glo + 3glo + 6glox Combine like terms: -3glo + 3glo = 0 3glo + -6goL + 17goxL = 1 + 0 + 6glox 3glo + -6goL + 17goxL = 1 + 6glox Add '-6glox' to each side of the equation. 3glo + -6goL + -6glox + 17goxL = 1 + 6glox + -6glox Reorder the terms: 3glo + -6glox + -6goL + 17goxL = 1 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 3glo + -6glox + -6goL + 17goxL = 1 + 0 3glo + -6glox + -6goL + 17goxL = 1 Reorder the terms: -1 + 3glo + -6glox + -6goL + 17goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3glo + -6glox + -6goL + 17goxL = 0 The solution to this equation could not be determined.
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