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Simplifying log(5x + -1) = 2 + log(x + -2) Reorder the terms: glo(-1 + 5x) = 2 + log(x + -2) (-1 * glo + 5x * glo) = 2 + log(x + -2) (-1glo + 5glox) = 2 + log(x + -2) Reorder the terms: -1glo + 5glox = 2 + glo(-2 + x) -1glo + 5glox = 2 + (-2 * glo + x * glo) -1glo + 5glox = 2 + (-2glo + glox) Solving -1glo + 5glox = 2 + -2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. -1glo + 2glo + 5glox = 2 + -2glo + 2glo + glox Combine like terms: -1glo + 2glo = 1glo 1glo + 5glox = 2 + -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 1glo + 5glox = 2 + 0 + glox 1glo + 5glox = 2 + glox Add '-1glox' to each side of the equation. 1glo + 5glox + -1glox = 2 + glox + -1glox Combine like terms: 5glox + -1glox = 4glox 1glo + 4glox = 2 + glox + -1glox Combine like terms: glox + -1glox = 0 1glo + 4glox = 2 + 0 1glo + 4glox = 2 Reorder the terms: -2 + 1glo + 4glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 1glo + 4glox = 0 The solution to this equation could not be determined.
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