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Simplifying 3log2x + 3logx = 0 Reorder the terms: 3glox + 3g2lox = 0 Solving 3glox + 3g2lox = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3glox'. 3glox(1 + g) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve: Simplifying 1 + g = 0 Solving 1 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + g = 0 + -1 g = 0 + -1 Combine like terms: 0 + -1 = -1 g = -1 Simplifying g = -1Solution
g = {-1}
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