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Simplifying 168log(x + 10) = 1 + log(4x + -3) Reorder the terms: 168glo(10 + x) = 1 + log(4x + -3) (10 * 168glo + x * 168glo) = 1 + log(4x + -3) (1680glo + 168glox) = 1 + log(4x + -3) Reorder the terms: 1680glo + 168glox = 1 + glo(-3 + 4x) 1680glo + 168glox = 1 + (-3 * glo + 4x * glo) 1680glo + 168glox = 1 + (-3glo + 4glox) Solving 1680glo + 168glox = 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. 1680glo + 3glo + 168glox = 1 + -3glo + 3glo + 4glox Combine like terms: 1680glo + 3glo = 1683glo 1683glo + 168glox = 1 + -3glo + 3glo + 4glox Combine like terms: -3glo + 3glo = 0 1683glo + 168glox = 1 + 0 + 4glox 1683glo + 168glox = 1 + 4glox Add '-4glox' to each side of the equation. 1683glo + 168glox + -4glox = 1 + 4glox + -4glox Combine like terms: 168glox + -4glox = 164glox 1683glo + 164glox = 1 + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 1683glo + 164glox = 1 + 0 1683glo + 164glox = 1 Reorder the terms: -1 + 1683glo + 164glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 1683glo + 164glox = 0 The solution to this equation could not be determined.
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