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Simplifying g(x) = log(3)(2x + -1) + -3 Multiply g * x gx = log(3)(2x + -1) + -3 Reorder the terms: gx = glo * 3(-1 + 2x) + -3 Reorder the terms for easier multiplication: gx = 3glo(-1 + 2x) + -3 gx = (-1 * 3glo + 2x * 3glo) + -3 gx = (-3glo + 6glox) + -3 Reorder the terms: gx = -3 + -3glo + 6glox Solving gx = -3 + -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. 3glo + gx = -3 + -3glo + 3glo + 6glox Combine like terms: -3glo + 3glo = 0 3glo + gx = -3 + 0 + 6glox 3glo + gx = -3 + 6glox Add '-6glox' to each side of the equation. 3glo + -6glox + gx = -3 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 3glo + -6glox + gx = -3 + 0 3glo + -6glox + gx = -3 Reorder the terms: 3 + 3glo + -6glox + gx = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 3glo + -6glox + gx = 0 The solution to this equation could not be determined.
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