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Simplifying Log(2x + 4) + -1los(x + -1) = 1 Reorder the terms: goL(4 + 2x) + -1los(x + -1) = 1 (4 * goL + 2x * goL) + -1los(x + -1) = 1 (4goL + 2goxL) + -1los(x + -1) = 1 Reorder the terms: 4goL + 2goxL + -1los(-1 + x) = 1 4goL + 2goxL + (-1 * -1los + x * -1los) = 1 4goL + 2goxL + (1los + -1losx) = 1 Solving 4goL + 2goxL + 1los + -1losx = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1los' to each side of the equation. 4goL + 2goxL + 1los + -1los + -1losx = 1 + -1los Combine like terms: 1los + -1los = 0 4goL + 2goxL + 0 + -1losx = 1 + -1los 4goL + 2goxL + -1losx = 1 + -1los Add 'losx' to each side of the equation. 4goL + 2goxL + -1losx + losx = 1 + -1los + losx Combine like terms: -1losx + losx = 0 4goL + 2goxL + 0 = 1 + -1los + losx 4goL + 2goxL = 1 + -1los + losx Reorder the terms: -1 + 4goL + 2goxL + los + -1losx = 1 + -1los + losx + -1 + los + -1losx Reorder the terms: -1 + 4goL + 2goxL + los + -1losx = 1 + -1 + -1los + los + losx + -1losx Combine like terms: 1 + -1 = 0 -1 + 4goL + 2goxL + los + -1losx = 0 + -1los + los + losx + -1losx -1 + 4goL + 2goxL + los + -1losx = -1los + los + losx + -1losx Combine like terms: -1los + los = 0 -1 + 4goL + 2goxL + los + -1losx = 0 + losx + -1losx -1 + 4goL + 2goxL + los + -1losx = losx + -1losx Combine like terms: losx + -1losx = 0 -1 + 4goL + 2goxL + los + -1losx = 0 The solution to this equation could not be determined.
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