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Simplifying log[5](x + 5) + -1log[5](x + -5) = 2 Reorder the terms: glo * 5(5 + x) + -1log[5](x + -5) = 2 Reorder the terms for easier multiplication: 5glo(5 + x) + -1log[5](x + -5) = 2 (5 * 5glo + x * 5glo) + -1log[5](x + -5) = 2 (25glo + 5glox) + -1log[5](x + -5) = 2 Reorder the terms: 25glo + 5glox + -1glo * 5(-5 + x) = 2 Reorder the terms for easier multiplication: 25glo + 5glox + -1 * 5glo(-5 + x) = 2 Multiply -1 * 5 25glo + 5glox + -5glo(-5 + x) = 2 25glo + 5glox + (-5 * -5glo + x * -5glo) = 2 25glo + 5glox + (25glo + -5glox) = 2 Reorder the terms: 25glo + 25glo + 5glox + -5glox = 2 Combine like terms: 25glo + 25glo = 50glo 50glo + 5glox + -5glox = 2 Combine like terms: 5glox + -5glox = 0 50glo + 0 = 2 50glo = 2 Solving 50glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '50lo'. g = 0.04l-1o-1 Simplifying g = 0.04l-1o-1
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