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Simplifying Log(x) = log(6 + -1x2) Multiply goL * x goxL = log(6 + -1x2) goxL = (6 * glo + -1x2 * glo) goxL = (6glo + -1glox2) Solving goxL = 6glo + -1glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. -6glo + goxL = 6glo + -6glo + -1glox2 Combine like terms: 6glo + -6glo = 0 -6glo + goxL = 0 + -1glox2 -6glo + goxL = -1glox2 Add 'glox2' to each side of the equation. -6glo + glox2 + goxL = -1glox2 + glox2 Combine like terms: -1glox2 + glox2 = 0 -6glo + glox2 + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-6l + lx2 + 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 '(-6l + lx2 + xL)' equal to zero and attempt to solve: Simplifying -6l + lx2 + xL = 0 Solving -6l + lx2 + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '6l' to each side of the equation. -6l + lx2 + 6l + xL = 0 + 6l Reorder the terms: -6l + 6l + lx2 + xL = 0 + 6l Combine like terms: -6l + 6l = 0 0 + lx2 + xL = 0 + 6l lx2 + xL = 0 + 6l Remove the zero: lx2 + xL = 6l Add '-1lx2' to each side of the equation. lx2 + -1lx2 + xL = 6l + -1lx2 Combine like terms: lx2 + -1lx2 = 0 0 + xL = 6l + -1lx2 xL = 6l + -1lx2 Add '-1xL' to each side of the equation. xL + -1xL = 6l + -1lx2 + -1xL Combine like terms: xL + -1xL = 0 0 = 6l + -1lx2 + -1xL Simplifying 0 = 6l + -1lx2 + -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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