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Simplifying log(6x + 5) = 1 + log(x + -5) Reorder the terms: glo(5 + 6x) = 1 + log(x + -5) (5 * glo + 6x * glo) = 1 + log(x + -5) (5glo + 6glox) = 1 + log(x + -5) Reorder the terms: 5glo + 6glox = 1 + glo(-5 + x) 5glo + 6glox = 1 + (-5 * glo + x * glo) 5glo + 6glox = 1 + (-5glo + glox) Solving 5glo + 6glox = 1 + -5glo + glox 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. 5glo + 5glo + 6glox = 1 + -5glo + 5glo + glox Combine like terms: 5glo + 5glo = 10glo 10glo + 6glox = 1 + -5glo + 5glo + glox Combine like terms: -5glo + 5glo = 0 10glo + 6glox = 1 + 0 + glox 10glo + 6glox = 1 + glox Add '-1glox' to each side of the equation. 10glo + 6glox + -1glox = 1 + glox + -1glox Combine like terms: 6glox + -1glox = 5glox 10glo + 5glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 10glo + 5glox = 1 + 0 10glo + 5glox = 1 Reorder the terms: -1 + 10glo + 5glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 10glo + 5glox = 0 The solution to this equation could not be determined.
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