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Simplifying log(x + 2) = 1 + log(4x + -3) Reorder the terms: glo(2 + x) = 1 + log(4x + -3) (2 * glo + x * glo) = 1 + log(4x + -3) (2glo + glox) = 1 + log(4x + -3) Reorder the terms: 2glo + glox = 1 + glo(-3 + 4x) 2glo + glox = 1 + (-3 * glo + 4x * glo) 2glo + glox = 1 + (-3glo + 4glox) Solving 2glo + glox = 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. 2glo + 3glo + glox = 1 + -3glo + 3glo + 4glox Combine like terms: 2glo + 3glo = 5glo 5glo + glox = 1 + -3glo + 3glo + 4glox Combine like terms: -3glo + 3glo = 0 5glo + glox = 1 + 0 + 4glox 5glo + glox = 1 + 4glox Add '-4glox' to each side of the equation. 5glo + glox + -4glox = 1 + 4glox + -4glox Combine like terms: glox + -4glox = -3glox 5glo + -3glox = 1 + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 5glo + -3glox = 1 + 0 5glo + -3glox = 1 Reorder the terms: -1 + 5glo + -3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 5glo + -3glox = 0 The solution to this equation could not be determined.
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