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Simplifying 2log(x) = log(2x + -10) + 1 Multiply glo * x 2glox = log(2x + -10) + 1 Reorder the terms: 2glox = glo(-10 + 2x) + 1 2glox = (-10 * glo + 2x * glo) + 1 2glox = (-10glo + 2glox) + 1 Reorder the terms: 2glox = 1 + -10glo + 2glox Add '-2glox' to each side of the equation. 2glox + -2glox = 1 + -10glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 1 + -10glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 1 + -10glo + 0 0 = 1 + -10glo Solving 0 = 1 + -10glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10glo' to each side of the equation. 0 + 10glo = 1 + -10glo + 10glo Remove the zero: 10glo = 1 + -10glo + 10glo Combine like terms: -10glo + 10glo = 0 10glo = 1 + 0 10glo = 1 Divide each side by '10lo'. g = 0.1l-1o-1 Simplifying g = 0.1l-1o-1
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