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Simplifying Log(x) = log(x + 6) + -1log(x + -4) Multiply goL * x goxL = log(x + 6) + -1log(x + -4) Reorder the terms: goxL = glo(6 + x) + -1log(x + -4) goxL = (6 * glo + x * glo) + -1log(x + -4) goxL = (6glo + glox) + -1log(x + -4) Reorder the terms: goxL = 6glo + glox + -1glo(-4 + x) goxL = 6glo + glox + (-4 * -1glo + x * -1glo) goxL = 6glo + glox + (4glo + -1glox) Reorder the terms: goxL = 6glo + 4glo + glox + -1glox Combine like terms: 6glo + 4glo = 10glo goxL = 10glo + glox + -1glox Combine like terms: glox + -1glox = 0 goxL = 10glo + 0 goxL = 10glo Solving goxL = 10glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. -10glo + goxL = 10glo + -10glo Combine like terms: 10glo + -10glo = 0 -10glo + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-10l + 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 '(-10l + xL)' equal to zero and attempt to solve: Simplifying -10l + xL = 0 Solving -10l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '10l' to each side of the equation. -10l + 10l + xL = 0 + 10l Combine like terms: -10l + 10l = 0 0 + xL = 0 + 10l xL = 0 + 10l Remove the zero: xL = 10l Add '-1xL' to each side of the equation. xL + -1xL = 10l + -1xL Combine like terms: xL + -1xL = 0 0 = 10l + -1xL Simplifying 0 = 10l + -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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