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