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