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Simplifying Log(x + 5) = log(5x + -4) Reorder the terms: goL(5 + x) = log(5x + -4) (5 * goL + x * goL) = log(5x + -4) (5goL + goxL) = log(5x + -4) Reorder the terms: 5goL + goxL = glo(-4 + 5x) 5goL + goxL = (-4 * glo + 5x * glo) 5goL + goxL = (-4glo + 5glox) Solving 5goL + goxL = -4glo + 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4glo' to each side of the equation. 5goL + 4glo + goxL = -4glo + 4glo + 5glox Reorder the terms: 4glo + 5goL + goxL = -4glo + 4glo + 5glox Combine like terms: -4glo + 4glo = 0 4glo + 5goL + goxL = 0 + 5glox 4glo + 5goL + goxL = 5glox Add '-5glox' to each side of the equation. 4glo + 5goL + -5glox + goxL = 5glox + -5glox Reorder the terms: 4glo + -5glox + 5goL + goxL = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 4glo + -5glox + 5goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(4l + -5lx + 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 '(4l + -5lx + 5L + xL)' equal to zero and attempt to solve: Simplifying 4l + -5lx + 5L + xL = 0 Reorder the terms: 5L + 4l + -5lx + xL = 0 Solving 5L + 4l + -5lx + 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 + 4l + -5lx + -5L + xL = 0 + -5L Reorder the terms: 5L + -5L + 4l + -5lx + xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + 4l + -5lx + xL = 0 + -5L 4l + -5lx + xL = 0 + -5L Remove the zero: 4l + -5lx + xL = -5L Add '-4l' to each side of the equation. 4l + -5lx + -4l + xL = -5L + -4l Reorder the terms: 4l + -4l + -5lx + xL = -5L + -4l Combine like terms: 4l + -4l = 0 0 + -5lx + xL = -5L + -4l -5lx + xL = -5L + -4l Add '5lx' to each side of the equation. -5lx + 5lx + xL = -5L + -4l + 5lx Combine like terms: -5lx + 5lx = 0 0 + xL = -5L + -4l + 5lx xL = -5L + -4l + 5lx Add '-1xL' to each side of the equation. xL + -1xL = -5L + -4l + 5lx + -1xL Combine like terms: xL + -1xL = 0 0 = -5L + -4l + 5lx + -1xL Simplifying 0 = -5L + -4l + 5lx + -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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