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Simplifying 3log2(x) + -2log(x) = 0 Multiply g2lo * x 3g2lox + -2log(x) = 0 Multiply glo * x 3g2lox + -2glox = 0 Reorder the terms: -2glox + 3g2lox = 0 Solving -2glox + 3g2lox = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'glox'. glox(-2 + 3g) = 0Subproblem 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 '(-2 + 3g)' equal to zero and attempt to solve: Simplifying -2 + 3g = 0 Solving -2 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3g = 0 + 2 3g = 0 + 2 Combine like terms: 0 + 2 = 2 3g = 2 Divide each side by '3'. g = 0.6666666667 Simplifying g = 0.6666666667Solution
g = {0.6666666667}
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