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