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Simplifying log(4x + 3) = 1 + log(x + -5) Reorder the terms: glo(3 + 4x) = 1 + log(x + -5) (3 * glo + 4x * glo) = 1 + log(x + -5) (3glo + 4glox) = 1 + log(x + -5) Reorder the terms: 3glo + 4glox = 1 + glo(-5 + x) 3glo + 4glox = 1 + (-5 * glo + x * glo) 3glo + 4glox = 1 + (-5glo + glox) Solving 3glo + 4glox = 1 + -5glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 3glo + 5glo + 4glox = 1 + -5glo + 5glo + glox Combine like terms: 3glo + 5glo = 8glo 8glo + 4glox = 1 + -5glo + 5glo + glox Combine like terms: -5glo + 5glo = 0 8glo + 4glox = 1 + 0 + glox 8glo + 4glox = 1 + glox Add '-1glox' to each side of the equation. 8glo + 4glox + -1glox = 1 + glox + -1glox Combine like terms: 4glox + -1glox = 3glox 8glo + 3glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 8glo + 3glox = 1 + 0 8glo + 3glox = 1 Reorder the terms: -1 + 8glo + 3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 8glo + 3glox = 0 The solution to this equation could not be determined.
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