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Simplifying log[2](x3) = log[2](x) Reorder the terms for easier multiplication: 2glo * x3 = log[2](x) Multiply glo * x3 2glox3 = log[2](x) Reorder the terms for easier multiplication: 2glox3 = 2glo * x Multiply glo * x 2glox3 = 2glox Solving 2glox3 = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. -2glox + 2glox3 = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glox + 2glox3 = 0 Factor out the Greatest Common Factor (GCF), '2glox'. 2glox(-1 + x2) = 0 Factor a difference between two squares. 2glox((1 + x)(-1 + x)) = 0 Ignore the factor 2.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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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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