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Simplifying log(7)(3x3 + x) + -1log(7)(x) = 2 Reorder the terms: glo * 7(x + 3x3) + -1log(7)(x) = 2 Reorder the terms for easier multiplication: 7glo(x + 3x3) + -1log(7)(x) = 2 (x * 7glo + 3x3 * 7glo) + -1log(7)(x) = 2 (7glox + 21glox3) + -1log(7)(x) = 2 Reorder the terms for easier multiplication: 7glox + 21glox3 + -1 * 7glo * x = 2 Multiply -1 * 7 7glox + 21glox3 + -7glo * x = 2 Multiply glo * x 7glox + 21glox3 + -7glox = 2 Reorder the terms: 7glox + -7glox + 21glox3 = 2 Combine like terms: 7glox + -7glox = 0 0 + 21glox3 = 2 21glox3 = 2 Solving 21glox3 = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '21lox3'. g = 0.09523809524l-1o-1x-3 Simplifying g = 0.09523809524l-1o-1x-3
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