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Simplifying Log(6x + -1) + -1log(x + -4) = logx Reorder the terms: goL(-1 + 6x) + -1log(x + -4) = logx (-1 * goL + 6x * goL) + -1log(x + -4) = logx (-1goL + 6goxL) + -1log(x + -4) = logx Reorder the terms: -1goL + 6goxL + -1glo(-4 + x) = logx -1goL + 6goxL + (-4 * -1glo + x * -1glo) = logx -1goL + 6goxL + (4glo + -1glox) = logx Reorder the terms: 4glo + -1glox + -1goL + 6goxL = logx Solving 4glo + -1glox + -1goL + 6goxL = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 4glo + -1glox + -1goL + -1glox + 6goxL = glox + -1glox Reorder the terms: 4glo + -1glox + -1glox + -1goL + 6goxL = glox + -1glox Combine like terms: -1glox + -1glox = -2glox 4glo + -2glox + -1goL + 6goxL = glox + -1glox Combine like terms: glox + -1glox = 0 4glo + -2glox + -1goL + 6goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(4l + -2lx + -1L + 6xL) = 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 + -2lx + -1L + 6xL)' equal to zero and attempt to solve: Simplifying 4l + -2lx + -1L + 6xL = 0 Reorder the terms: -1L + 4l + -2lx + 6xL = 0 Solving -1L + 4l + -2lx + 6xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + 4l + -2lx + L + 6xL = 0 + L Reorder the terms: -1L + L + 4l + -2lx + 6xL = 0 + L Combine like terms: -1L + L = 0 0 + 4l + -2lx + 6xL = 0 + L 4l + -2lx + 6xL = 0 + L Remove the zero: 4l + -2lx + 6xL = L Add '-4l' to each side of the equation. 4l + -2lx + -4l + 6xL = L + -4l Reorder the terms: 4l + -4l + -2lx + 6xL = L + -4l Combine like terms: 4l + -4l = 0 0 + -2lx + 6xL = L + -4l -2lx + 6xL = L + -4l Add '2lx' to each side of the equation. -2lx + 2lx + 6xL = L + -4l + 2lx Combine like terms: -2lx + 2lx = 0 0 + 6xL = L + -4l + 2lx 6xL = L + -4l + 2lx Add '-6xL' to each side of the equation. 6xL + -6xL = L + -4l + 2lx + -6xL Combine like terms: 6xL + -6xL = 0 0 = L + -4l + 2lx + -6xL Simplifying 0 = L + -4l + 2lx + -6xL 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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