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Simplifying log(5)(x + 2) + log(5)(x + -2) = 1 Reorder the terms: glo * 5(2 + x) + log(5)(x + -2) = 1 Reorder the terms for easier multiplication: 5glo(2 + x) + log(5)(x + -2) = 1 (2 * 5glo + x * 5glo) + log(5)(x + -2) = 1 (10glo + 5glox) + log(5)(x + -2) = 1 Reorder the terms: 10glo + 5glox + glo * 5(-2 + x) = 1 Reorder the terms for easier multiplication: 10glo + 5glox + 5glo(-2 + x) = 1 10glo + 5glox + (-2 * 5glo + x * 5glo) = 1 10glo + 5glox + (-10glo + 5glox) = 1 Reorder the terms: 10glo + -10glo + 5glox + 5glox = 1 Combine like terms: 10glo + -10glo = 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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