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Simplifying log[5](x + 17) + -1log[5](x + -7) = 2 Reorder the terms: glo * 5(17 + x) + -1log[5](x + -7) = 2 Reorder the terms for easier multiplication: 5glo(17 + x) + -1log[5](x + -7) = 2 (17 * 5glo + x * 5glo) + -1log[5](x + -7) = 2 (85glo + 5glox) + -1log[5](x + -7) = 2 Reorder the terms: 85glo + 5glox + -1glo * 5(-7 + x) = 2 Reorder the terms for easier multiplication: 85glo + 5glox + -1 * 5glo(-7 + x) = 2 Multiply -1 * 5 85glo + 5glox + -5glo(-7 + x) = 2 85glo + 5glox + (-7 * -5glo + x * -5glo) = 2 85glo + 5glox + (35glo + -5glox) = 2 Reorder the terms: 85glo + 35glo + 5glox + -5glox = 2 Combine like terms: 85glo + 35glo = 120glo 120glo + 5glox + -5glox = 2 Combine like terms: 5glox + -5glox = 0 120glo + 0 = 2 120glo = 2 Solving 120glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '120lo'. g = 0.01666666667l-1o-1 Simplifying g = 0.01666666667l-1o-1
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