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Simplifying log[2](12x + 2) = 3 + log[2](x + 2) Reorder the terms: glo * 2(2 + 12x) = 3 + log[2](x + 2) Reorder the terms for easier multiplication: 2glo(2 + 12x) = 3 + log[2](x + 2) (2 * 2glo + 12x * 2glo) = 3 + log[2](x + 2) (4glo + 24glox) = 3 + log[2](x + 2) Reorder the terms: 4glo + 24glox = 3 + glo * 2(2 + x) Reorder the terms for easier multiplication: 4glo + 24glox = 3 + 2glo(2 + x) 4glo + 24glox = 3 + (2 * 2glo + x * 2glo) 4glo + 24glox = 3 + (4glo + 2glox) Add '-4glo' to each side of the equation. 4glo + -4glo + 24glox = 3 + 4glo + -4glo + 2glox Combine like terms: 4glo + -4glo = 0 0 + 24glox = 3 + 4glo + -4glo + 2glox 24glox = 3 + 4glo + -4glo + 2glox Combine like terms: 4glo + -4glo = 0 24glox = 3 + 0 + 2glox 24glox = 3 + 2glox Solving 24glox = 3 + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. 24glox + -2glox = 3 + 2glox + -2glox Combine like terms: 24glox + -2glox = 22glox 22glox = 3 + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 22glox = 3 + 0 22glox = 3 Divide each side by '22lox'. g = 0.1363636364l-1o-1x-1 Simplifying g = 0.1363636364l-1o-1x-1
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