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Simplifying log(8 + -3x) = 1 + log(4x + 5) (8 * glo + -3x * glo) = 1 + log(4x + 5) (8glo + -3glox) = 1 + log(4x + 5) Reorder the terms: 8glo + -3glox = 1 + glo(5 + 4x) 8glo + -3glox = 1 + (5 * glo + 4x * glo) 8glo + -3glox = 1 + (5glo + 4glox) Solving 8glo + -3glox = 1 + 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. 8glo + -5glo + -3glox = 1 + 5glo + -5glo + 4glox Combine like terms: 8glo + -5glo = 3glo 3glo + -3glox = 1 + 5glo + -5glo + 4glox Combine like terms: 5glo + -5glo = 0 3glo + -3glox = 1 + 0 + 4glox 3glo + -3glox = 1 + 4glox Add '-4glox' to each side of the equation. 3glo + -3glox + -4glox = 1 + 4glox + -4glox Combine like terms: -3glox + -4glox = -7glox 3glo + -7glox = 1 + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 3glo + -7glox = 1 + 0 3glo + -7glox = 1 Reorder the terms: -1 + 3glo + -7glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3glo + -7glox = 0 The solution to this equation could not be determined.
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