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Simplifying log(4)(5 + -1x) + -1log(4)(3 + -1x) = 2 Reorder the terms for easier multiplication: 4glo(5 + -1x) + -1log(4)(3 + -1x) = 2 (5 * 4glo + -1x * 4glo) + -1log(4)(3 + -1x) = 2 (20glo + -4glox) + -1log(4)(3 + -1x) = 2 Reorder the terms for easier multiplication: 20glo + -4glox + -1 * 4glo(3 + -1x) = 2 Multiply -1 * 4 20glo + -4glox + -4glo(3 + -1x) = 2 20glo + -4glox + (3 * -4glo + -1x * -4glo) = 2 20glo + -4glox + (-12glo + 4glox) = 2 Reorder the terms: 20glo + -12glo + -4glox + 4glox = 2 Combine like terms: 20glo + -12glo = 8glo 8glo + -4glox + 4glox = 2 Combine like terms: -4glox + 4glox = 0 8glo + 0 = 2 8glo = 2 Solving 8glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '8lo'. g = 0.25l-1o-1 Simplifying g = 0.25l-1o-1
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