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Simplifying log(2x + 1) = Ln(x + -3) + Ln(x + 5) Reorder the terms: glo(1 + 2x) = Ln(x + -3) + Ln(x + 5) (1 * glo + 2x * glo) = Ln(x + -3) + Ln(x + 5) (1glo + 2glox) = Ln(x + -3) + Ln(x + 5) Reorder the terms: 1glo + 2glox = nL(-3 + x) + Ln(x + 5) 1glo + 2glox = (-3 * nL + x * nL) + Ln(x + 5) 1glo + 2glox = (-3nL + nxL) + Ln(x + 5) Reorder the terms: 1glo + 2glox = -3nL + nxL + nL(5 + x) 1glo + 2glox = -3nL + nxL + (5 * nL + x * nL) 1glo + 2glox = -3nL + nxL + (5nL + nxL) Reorder the terms: 1glo + 2glox = -3nL + 5nL + nxL + nxL Combine like terms: -3nL + 5nL = 2nL 1glo + 2glox = 2nL + nxL + nxL Combine like terms: nxL + nxL = 2nxL 1glo + 2glox = 2nL + 2nxL Solving 1glo + 2glox = 2nL + 2nxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 1glo + 2glox + -2nL + -2nxL = 2nL + -2nL + 2nxL + -2nxL Combine like terms: 2nL + -2nL = 0 1glo + 2glox + -2nL + -2nxL = 0 + 2nxL + -2nxL 1glo + 2glox + -2nL + -2nxL = 2nxL + -2nxL Combine like terms: 2nxL + -2nxL = 0 1glo + 2glox + -2nL + -2nxL = 0 The solution to this equation could not be determined.
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