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Simplifying xlog(x + 2) = 1 + log(4x + -3) Reorder the terms: glox(2 + x) = 1 + log(4x + -3) (2 * glox + x * glox) = 1 + log(4x + -3) (2glox + glox2) = 1 + log(4x + -3) Reorder the terms: 2glox + glox2 = 1 + glo(-3 + 4x) 2glox + glox2 = 1 + (-3 * glo + 4x * glo) 2glox + glox2 = 1 + (-3glo + 4glox) Solving 2glox + glox2 = 1 + -3glo + 4glox 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. 2glox + 3glo + glox2 = 1 + -3glo + 3glo + 4glox Reorder the terms: 3glo + 2glox + glox2 = 1 + -3glo + 3glo + 4glox Combine like terms: -3glo + 3glo = 0 3glo + 2glox + glox2 = 1 + 0 + 4glox 3glo + 2glox + glox2 = 1 + 4glox Add '-4glox' to each side of the equation. 3glo + 2glox + -4glox + glox2 = 1 + 4glox + -4glox Combine like terms: 2glox + -4glox = -2glox 3glo + -2glox + glox2 = 1 + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 3glo + -2glox + glox2 = 1 + 0 3glo + -2glox + glox2 = 1 Reorder the terms: -1 + 3glo + -2glox + glox2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3glo + -2glox + glox2 = 0 The solution to this equation could not be determined.
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