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Simplifying log[5](x + 2) + -1log[5](x) = 2 Reorder the terms: glo * 5(2 + x) + -1log[5](x) = 2 Reorder the terms for easier multiplication: 5glo(2 + x) + -1log[5](x) = 2 (2 * 5glo + x * 5glo) + -1log[5](x) = 2 (10glo + 5glox) + -1log[5](x) = 2 Reorder the terms for easier multiplication: 10glo + 5glox + -1 * 5glo * x = 2 Multiply -1 * 5 10glo + 5glox + -5glo * x = 2 Multiply glo * x 10glo + 5glox + -5glox = 2 Combine like terms: 5glox + -5glox = 0 10glo + 0 = 2 10glo = 2 Solving 10glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '10lo'. g = 0.2l-1o-1 Simplifying g = 0.2l-1o-1
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