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Simplifying logx6 = logx2 Solving glox6 = glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox2' to each side of the equation. -1glox2 + glox6 = glox2 + -1glox2 Combine like terms: glox2 + -1glox2 = 0 -1glox2 + glox6 = 0 Factor out the Greatest Common Factor (GCF), 'glox2'. glox2(-1 + x4) = 0 Factor a difference between two squares. glox2((1 + x2)(-1 + x2)) = 0 Factor a difference between two squares. glox2((1 + x2)((1 + x)(-1 + x))) = 0Subproblem 1
Set the factor 'glox2' equal to zero and attempt to solve: Simplifying glox2 = 0 Solving glox2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox2 = 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 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 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 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Add '-1x2' to each side of the equation. x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + -1x2 Simplifying 0 = -1 + -1x2 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.Subproblem 4
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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