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