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Simplifying log(5x + 9) = 2 + log(4x + -5) Reorder the terms: glo(9 + 5x) = 2 + log(4x + -5) (9 * glo + 5x * glo) = 2 + log(4x + -5) (9glo + 5glox) = 2 + log(4x + -5) Reorder the terms: 9glo + 5glox = 2 + glo(-5 + 4x) 9glo + 5glox = 2 + (-5 * glo + 4x * glo) 9glo + 5glox = 2 + (-5glo + 4glox) Solving 9glo + 5glox = 2 + -5glo + 4glox 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. 9glo + 5glo + 5glox = 2 + -5glo + 5glo + 4glox Combine like terms: 9glo + 5glo = 14glo 14glo + 5glox = 2 + -5glo + 5glo + 4glox Combine like terms: -5glo + 5glo = 0 14glo + 5glox = 2 + 0 + 4glox 14glo + 5glox = 2 + 4glox Add '-4glox' to each side of the equation. 14glo + 5glox + -4glox = 2 + 4glox + -4glox Combine like terms: 5glox + -4glox = 1glox 14glo + 1glox = 2 + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 14glo + 1glox = 2 + 0 14glo + 1glox = 2 Reorder the terms: -2 + 14glo + 1glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 14glo + 1glox = 0 The solution to this equation could not be determined.
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