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