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Simplifying log(6x + 2) = 1 + (logx + -4) Reorder the terms: glo(2 + 6x) = 1 + (logx + -4) (2 * glo + 6x * glo) = 1 + (logx + -4) (2glo + 6glox) = 1 + (logx + -4) Reorder the terms: 2glo + 6glox = 1 + (-4 + glox) Remove parenthesis around (-4 + glox) 2glo + 6glox = 1 + -4 + glox Combine like terms: 1 + -4 = -3 2glo + 6glox = -3 + glox Solving 2glo + 6glox = -3 + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 2glo + 6glox + -1glox = -3 + glox + -1glox Combine like terms: 6glox + -1glox = 5glox 2glo + 5glox = -3 + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + 5glox = -3 + 0 2glo + 5glox = -3 Reorder the terms: 3 + 2glo + 5glox = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 2glo + 5glox = 0 The solution to this equation could not be determined.
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