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Simplifying log(x + 10) = 1 + log(4x + -3) Reorder the terms: glo(10 + x) = 1 + log(4x + -3) (10 * glo + x * glo) = 1 + log(4x + -3) (10glo + glox) = 1 + log(4x + -3) Reorder the terms: 10glo + glox = 1 + glo(-3 + 4x) 10glo + glox = 1 + (-3 * glo + 4x * glo) 10glo + glox = 1 + (-3glo + 4glox) Solving 10glo + 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. 10glo + 3glo + glox = 1 + -3glo + 3glo + 4glox Combine like terms: 10glo + 3glo = 13glo 13glo + glox = 1 + -3glo + 3glo + 4glox Combine like terms: -3glo + 3glo = 0 13glo + glox = 1 + 0 + 4glox 13glo + glox = 1 + 4glox Add '-4glox' to each side of the equation. 13glo + glox + -4glox = 1 + 4glox + -4glox Combine like terms: glox + -4glox = -3glox 13glo + -3glox = 1 + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 13glo + -3glox = 1 + 0 13glo + -3glox = 1 Reorder the terms: -1 + 13glo + -3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 13glo + -3glox = 0 The solution to this equation could not be determined.
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