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