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Simplifying log(x + 5) + -1log(x + 2) = 5 Reorder the terms: glo(5 + x) + -1log(x + 2) = 5 (5 * glo + x * glo) + -1log(x + 2) = 5 (5glo + glox) + -1log(x + 2) = 5 Reorder the terms: 5glo + glox + -1glo(2 + x) = 5 5glo + glox + (2 * -1glo + x * -1glo) = 5 5glo + glox + (-2glo + -1glox) = 5 Reorder the terms: 5glo + -2glo + glox + -1glox = 5 Combine like terms: 5glo + -2glo = 3glo 3glo + glox + -1glox = 5 Combine like terms: glox + -1glox = 0 3glo + 0 = 5 3glo = 5 Solving 3glo = 5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '3lo'. g = 1.666666667l-1o-1 Simplifying g = 1.666666667l-1o-1
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