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Simplifying log[5](x + 5) + log[5](x + -5) = 1 Reorder the terms: glo * 5(5 + x) + log[5](x + -5) = 1 Reorder the terms for easier multiplication: 5glo(5 + x) + log[5](x + -5) = 1 (5 * 5glo + x * 5glo) + log[5](x + -5) = 1 (25glo + 5glox) + log[5](x + -5) = 1 Reorder the terms: 25glo + 5glox + glo * 5(-5 + x) = 1 Reorder the terms for easier multiplication: 25glo + 5glox + 5glo(-5 + x) = 1 25glo + 5glox + (-5 * 5glo + x * 5glo) = 1 25glo + 5glox + (-25glo + 5glox) = 1 Reorder the terms: 25glo + -25glo + 5glox + 5glox = 1 Combine like terms: 25glo + -25glo = 0 0 + 5glox + 5glox = 1 5glox + 5glox = 1 Combine like terms: 5glox + 5glox = 10glox 10glox = 1 Solving 10glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '10lox'. g = 0.1l-1o-1x-1 Simplifying g = 0.1l-1o-1x-1
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