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Simplifying 0.2log(x + 4) = log(3x + 16) Reorder the terms: 0.2glo(4 + x) = log(3x + 16) (4 * 0.2glo + x * 0.2glo) = log(3x + 16) (0.8glo + 0.2glox) = log(3x + 16) Reorder the terms: 0.8glo + 0.2glox = glo(16 + 3x) 0.8glo + 0.2glox = (16 * glo + 3x * glo) 0.8glo + 0.2glox = (16glo + 3glox) Solving 0.8glo + 0.2glox = 16glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16glo' to each side of the equation. 0.8glo + -16glo + 0.2glox = 16glo + -16glo + 3glox Combine like terms: 0.8glo + -16glo = -15.2glo -15.2glo + 0.2glox = 16glo + -16glo + 3glox Combine like terms: 16glo + -16glo = 0 -15.2glo + 0.2glox = 0 + 3glox -15.2glo + 0.2glox = 3glox Add '-3glox' to each side of the equation. -15.2glo + 0.2glox + -3glox = 3glox + -3glox Combine like terms: 0.2glox + -3glox = -2.8glox -15.2glo + -2.8glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -15.2glo + -2.8glox = 0 The solution to this equation could not be determined.
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