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Simplifying log[3](x + 12) + -1log[3](x + 4) = 2 Reorder the terms: glo * 3(12 + x) + -1log[3](x + 4) = 2 Reorder the terms for easier multiplication: 3glo(12 + x) + -1log[3](x + 4) = 2 (12 * 3glo + x * 3glo) + -1log[3](x + 4) = 2 (36glo + 3glox) + -1log[3](x + 4) = 2 Reorder the terms: 36glo + 3glox + -1glo * 3(4 + x) = 2 Reorder the terms for easier multiplication: 36glo + 3glox + -1 * 3glo(4 + x) = 2 Multiply -1 * 3 36glo + 3glox + -3glo(4 + x) = 2 36glo + 3glox + (4 * -3glo + x * -3glo) = 2 36glo + 3glox + (-12glo + -3glox) = 2 Reorder the terms: 36glo + -12glo + 3glox + -3glox = 2 Combine like terms: 36glo + -12glo = 24glo 24glo + 3glox + -3glox = 2 Combine like terms: 3glox + -3glox = 0 24glo + 0 = 2 24glo = 2 Solving 24glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '24lo'. g = 0.08333333333l-1o-1 Simplifying g = 0.08333333333l-1o-1
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