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Simplifying log(5)(x + 1) + -1log(5) * x = 4 Reorder the terms: glo * 5(1 + x) + -1log(5) * x = 4 Reorder the terms for easier multiplication: 5glo(1 + x) + -1log(5) * x = 4 (1 * 5glo + x * 5glo) + -1log(5) * x = 4 (5glo + 5glox) + -1log(5) * x = 4 Reorder the terms for easier multiplication: 5glo + 5glox + -1 * 5glo * x = 4 Multiply -1 * 5 5glo + 5glox + -5glo * x = 4 Multiply glo * x 5glo + 5glox + -5glox = 4 Combine like terms: 5glox + -5glox = 0 5glo + 0 = 4 5glo = 4 Solving 5glo = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '5lo'. g = 0.8l-1o-1 Simplifying g = 0.8l-1o-1
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