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