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Simplifying Log(2x + -8) = log(x + 2) Reorder the terms: goL(-8 + 2x) = log(x + 2) (-8 * goL + 2x * goL) = log(x + 2) (-8goL + 2goxL) = log(x + 2) Reorder the terms: -8goL + 2goxL = glo(2 + x) -8goL + 2goxL = (2 * glo + x * glo) -8goL + 2goxL = (2glo + glox) Solving -8goL + 2goxL = 2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glo' to each side of the equation. -8goL + -2glo + 2goxL = 2glo + -2glo + glox Reorder the terms: -2glo + -8goL + 2goxL = 2glo + -2glo + glox Combine like terms: 2glo + -2glo = 0 -2glo + -8goL + 2goxL = 0 + glox -2glo + -8goL + 2goxL = glox Add '-1glox' to each side of the equation. -2glo + -8goL + -1glox + 2goxL = glox + -1glox Reorder the terms: -2glo + -1glox + -8goL + 2goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -2glo + -1glox + -8goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2l + -1lx + -8L + 2xL) = 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 '(-2l + -1lx + -8L + 2xL)' equal to zero and attempt to solve: Simplifying -2l + -1lx + -8L + 2xL = 0 Reorder the terms: -8L + -2l + -1lx + 2xL = 0 Solving -8L + -2l + -1lx + 2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '8L' to each side of the equation. -8L + -2l + -1lx + 8L + 2xL = 0 + 8L Reorder the terms: -8L + 8L + -2l + -1lx + 2xL = 0 + 8L Combine like terms: -8L + 8L = 0 0 + -2l + -1lx + 2xL = 0 + 8L -2l + -1lx + 2xL = 0 + 8L Remove the zero: -2l + -1lx + 2xL = 8L Add '2l' to each side of the equation. -2l + -1lx + 2l + 2xL = 8L + 2l Reorder the terms: -2l + 2l + -1lx + 2xL = 8L + 2l Combine like terms: -2l + 2l = 0 0 + -1lx + 2xL = 8L + 2l -1lx + 2xL = 8L + 2l Add 'lx' to each side of the equation. -1lx + lx + 2xL = 8L + 2l + lx Combine like terms: -1lx + lx = 0 0 + 2xL = 8L + 2l + lx 2xL = 8L + 2l + lx Add '-2xL' to each side of the equation. 2xL + -2xL = 8L + 2l + lx + -2xL Combine like terms: 2xL + -2xL = 0 0 = 8L + 2l + lx + -2xL Simplifying 0 = 8L + 2l + lx + -2xL 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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