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Simplifying Log(x + -22) + -1Log(6) = Log(x + -16) + -1Log(x) Reorder the terms: goL(-22 + x) + -1Log(6) = Log(x + -16) + -1Log(x) (-22 * goL + x * goL) + -1Log(6) = Log(x + -16) + -1Log(x) (-22goL + goxL) + -1Log(6) = Log(x + -16) + -1Log(x) Reorder the terms for easier multiplication: -22goL + goxL + -1 * 6goL = Log(x + -16) + -1Log(x) Multiply -1 * 6 -22goL + goxL + -6goL = Log(x + -16) + -1Log(x) Reorder the terms: -22goL + -6goL + goxL = Log(x + -16) + -1Log(x) Combine like terms: -22goL + -6goL = -28goL -28goL + goxL = Log(x + -16) + -1Log(x) Reorder the terms: -28goL + goxL = goL(-16 + x) + -1Log(x) -28goL + goxL = (-16 * goL + x * goL) + -1Log(x) -28goL + goxL = (-16goL + goxL) + -1Log(x) Multiply goL * x -28goL + goxL = -16goL + goxL + -1goxL Combine like terms: goxL + -1goxL = 0 -28goL + goxL = -16goL + 0 -28goL + goxL = -16goL Solving -28goL + goxL = -16goL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16goL' to each side of the equation. -28goL + 16goL + goxL = -16goL + 16goL Combine like terms: -28goL + 16goL = -12goL -12goL + goxL = -16goL + 16goL Combine like terms: -16goL + 16goL = 0 -12goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'goL'. goL(-12 + x) = 0Subproblem 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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Add '-1x' to each side of the equation. x + -1x = 12 + -1x Combine like terms: x + -1x = 0 0 = 12 + -1x Simplifying 0 = 12 + -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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