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Simplifying Log(x + -5) = log(2x + -8) Reorder the terms: goL(-5 + x) = log(2x + -8) (-5 * goL + x * goL) = log(2x + -8) (-5goL + goxL) = log(2x + -8) Reorder the terms: -5goL + goxL = glo(-8 + 2x) -5goL + goxL = (-8 * glo + 2x * glo) -5goL + goxL = (-8glo + 2glox) Solving -5goL + goxL = -8glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. -5goL + 8glo + goxL = -8glo + 8glo + 2glox Reorder the terms: 8glo + -5goL + goxL = -8glo + 8glo + 2glox Combine like terms: -8glo + 8glo = 0 8glo + -5goL + goxL = 0 + 2glox 8glo + -5goL + goxL = 2glox Add '-2glox' to each side of the equation. 8glo + -5goL + -2glox + goxL = 2glox + -2glox Reorder the terms: 8glo + -2glox + -5goL + goxL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 8glo + -2glox + -5goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(8l + -2lx + -5L + xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(8l + -2lx + -5L + xL)' equal to zero and attempt to solve: Simplifying 8l + -2lx + -5L + xL = 0 Reorder the terms: -5L + 8l + -2lx + xL = 0 Solving -5L + 8l + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '5L' to each side of the equation. -5L + 8l + -2lx + 5L + xL = 0 + 5L Reorder the terms: -5L + 5L + 8l + -2lx + xL = 0 + 5L Combine like terms: -5L + 5L = 0 0 + 8l + -2lx + xL = 0 + 5L 8l + -2lx + xL = 0 + 5L Remove the zero: 8l + -2lx + xL = 5L Add '-8l' to each side of the equation. 8l + -2lx + -8l + xL = 5L + -8l Reorder the terms: 8l + -8l + -2lx + xL = 5L + -8l Combine like terms: 8l + -8l = 0 0 + -2lx + xL = 5L + -8l -2lx + xL = 5L + -8l Add '2lx' to each side of the equation. -2lx + 2lx + xL = 5L + -8l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = 5L + -8l + 2lx xL = 5L + -8l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = 5L + -8l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = 5L + -8l + 2lx + -1xL Simplifying 0 = 5L + -8l + 2lx + -1xL 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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