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Simplifying 2log(x) = log(6x + -90) + 1 Multiply glo * x 2glox = log(6x + -90) + 1 Reorder the terms: 2glox = glo(-90 + 6x) + 1 2glox = (-90 * glo + 6x * glo) + 1 2glox = (-90glo + 6glox) + 1 Reorder the terms: 2glox = 1 + -90glo + 6glox Solving 2glox = 1 + -90glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '90glo' to each side of the equation. 90glo + 2glox = 1 + -90glo + 90glo + 6glox Combine like terms: -90glo + 90glo = 0 90glo + 2glox = 1 + 0 + 6glox 90glo + 2glox = 1 + 6glox Add '-6glox' to each side of the equation. 90glo + 2glox + -6glox = 1 + 6glox + -6glox Combine like terms: 2glox + -6glox = -4glox 90glo + -4glox = 1 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 90glo + -4glox = 1 + 0 90glo + -4glox = 1 Reorder the terms: -1 + 90glo + -4glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 90glo + -4glox = 0 The solution to this equation could not be determined.
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