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Simplifying Log(x + -1) = -1Log(x + -9) Reorder the terms: goL(-1 + x) = -1Log(x + -9) (-1 * goL + x * goL) = -1Log(x + -9) (-1goL + goxL) = -1Log(x + -9) Reorder the terms: -1goL + goxL = -1goL(-9 + x) -1goL + goxL = (-9 * -1goL + x * -1goL) -1goL + goxL = (9goL + -1goxL) Solving -1goL + goxL = 9goL + -1goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9goL' to each side of the equation. -1goL + -9goL + goxL = 9goL + -9goL + -1goxL Combine like terms: -1goL + -9goL = -10goL -10goL + goxL = 9goL + -9goL + -1goxL Combine like terms: 9goL + -9goL = 0 -10goL + goxL = 0 + -1goxL -10goL + goxL = -1goxL Add 'goxL' to each side of the equation. -10goL + goxL + goxL = -1goxL + goxL Combine like terms: goxL + goxL = 2goxL -10goL + 2goxL = -1goxL + goxL Combine like terms: -1goxL + goxL = 0 -10goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), '2goL'. 2goL(-5 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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