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Simplifying log[5](x + 18) + -1log[5](x + -6) = 2 Reorder the terms: glo * 5(18 + x) + -1log[5](x + -6) = 2 Reorder the terms for easier multiplication: 5glo(18 + x) + -1log[5](x + -6) = 2 (18 * 5glo + x * 5glo) + -1log[5](x + -6) = 2 (90glo + 5glox) + -1log[5](x + -6) = 2 Reorder the terms: 90glo + 5glox + -1glo * 5(-6 + x) = 2 Reorder the terms for easier multiplication: 90glo + 5glox + -1 * 5glo(-6 + x) = 2 Multiply -1 * 5 90glo + 5glox + -5glo(-6 + x) = 2 90glo + 5glox + (-6 * -5glo + x * -5glo) = 2 90glo + 5glox + (30glo + -5glox) = 2 Reorder the terms: 90glo + 30glo + 5glox + -5glox = 2 Combine like terms: 90glo + 30glo = 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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