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Simplifying log(2)(X) + log(2)(9 + -2X) = 2 Reorder the terms for easier multiplication: 2glo * X + log(2)(9 + -2X) = 2 Multiply glo * X 2gloX + log(2)(9 + -2X) = 2 Reorder the terms for easier multiplication: 2gloX + 2glo(9 + -2X) = 2 2gloX + (9 * 2glo + -2X * 2glo) = 2 2gloX + (18glo + -4gloX) = 2 Reorder the terms: 18glo + 2gloX + -4gloX = 2 Combine like terms: 2gloX + -4gloX = -2gloX 18glo + -2gloX = 2 Solving 18glo + -2gloX = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 18glo + -2gloX = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 18glo + -2gloX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 9glo + -1gloX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 9glo + -1gloX)' equal to zero and attempt to solve: Simplifying -1 + 9glo + -1gloX = 0 Solving -1 + 9glo + -1gloX = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 9glo + 1 + -1gloX = 0 + 1 Reorder the terms: -1 + 1 + 9glo + -1gloX = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9glo + -1gloX = 0 + 1 9glo + -1gloX = 0 + 1 Combine like terms: 0 + 1 = 1 9glo + -1gloX = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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