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