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Simplifying log(4x + 9) = 1 + log(x + -3) Reorder the terms: glo(9 + 4x) = 1 + log(x + -3) (9 * glo + 4x * glo) = 1 + log(x + -3) (9glo + 4glox) = 1 + log(x + -3) Reorder the terms: 9glo + 4glox = 1 + glo(-3 + x) 9glo + 4glox = 1 + (-3 * glo + x * glo) 9glo + 4glox = 1 + (-3glo + glox) Solving 9glo + 4glox = 1 + -3glo + glox 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. 9glo + 3glo + 4glox = 1 + -3glo + 3glo + glox Combine like terms: 9glo + 3glo = 12glo 12glo + 4glox = 1 + -3glo + 3glo + glox Combine like terms: -3glo + 3glo = 0 12glo + 4glox = 1 + 0 + glox 12glo + 4glox = 1 + glox Add '-1glox' to each side of the equation. 12glo + 4glox + -1glox = 1 + glox + -1glox Combine like terms: 4glox + -1glox = 3glox 12glo + 3glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 12glo + 3glox = 1 + 0 12glo + 3glox = 1 Reorder the terms: -1 + 12glo + 3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 12glo + 3glox = 0 The solution to this equation could not be determined.
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