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Simplifying 2logx = 4 + log(2x + -3) Reorder the terms: 2glox = 4 + glo(-3 + 2x) 2glox = 4 + (-3 * glo + 2x * glo) 2glox = 4 + (-3glo + 2glox) Add '-2glox' to each side of the equation. 2glox + -2glox = 4 + -3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 4 + -3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 4 + -3glo + 0 0 = 4 + -3glo Solving 0 = 4 + -3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. 0 + 3glo = 4 + -3glo + 3glo Remove the zero: 3glo = 4 + -3glo + 3glo Combine like terms: -3glo + 3glo = 0 3glo = 4 + 0 3glo = 4 Divide each side by '3lo'. g = 1.333333333l-1o-1 Simplifying g = 1.333333333l-1o-1
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