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Simplifying Log(10 + -4x) = log(x + -10) (10 * goL + -4x * goL) = log(x + -10) (10goL + -4goxL) = log(x + -10) Reorder the terms: 10goL + -4goxL = glo(-10 + x) 10goL + -4goxL = (-10 * glo + x * glo) 10goL + -4goxL = (-10glo + glox) Solving 10goL + -4goxL = -10glo + glox 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. 10goL + 10glo + -4goxL = -10glo + 10glo + glox Reorder the terms: 10glo + 10goL + -4goxL = -10glo + 10glo + glox Combine like terms: -10glo + 10glo = 0 10glo + 10goL + -4goxL = 0 + glox 10glo + 10goL + -4goxL = glox Add '-1glox' to each side of the equation. 10glo + 10goL + -1glox + -4goxL = glox + -1glox Reorder the terms: 10glo + -1glox + 10goL + -4goxL = glox + -1glox Combine like terms: glox + -1glox = 0 10glo + -1glox + 10goL + -4goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(10l + -1lx + 10L + -4xL) = 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 + -1lx + 10L + -4xL)' equal to zero and attempt to solve: Simplifying 10l + -1lx + 10L + -4xL = 0 Reorder the terms: 10L + 10l + -1lx + -4xL = 0 Solving 10L + 10l + -1lx + -4xL = 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 + -1lx + -10L + -4xL = 0 + -10L Reorder the terms: 10L + -10L + 10l + -1lx + -4xL = 0 + -10L Combine like terms: 10L + -10L = 0 0 + 10l + -1lx + -4xL = 0 + -10L 10l + -1lx + -4xL = 0 + -10L Remove the zero: 10l + -1lx + -4xL = -10L Add '-10l' to each side of the equation. 10l + -1lx + -10l + -4xL = -10L + -10l Reorder the terms: 10l + -10l + -1lx + -4xL = -10L + -10l Combine like terms: 10l + -10l = 0 0 + -1lx + -4xL = -10L + -10l -1lx + -4xL = -10L + -10l Add 'lx' to each side of the equation. -1lx + lx + -4xL = -10L + -10l + lx Combine like terms: -1lx + lx = 0 0 + -4xL = -10L + -10l + lx -4xL = -10L + -10l + lx Add '4xL' to each side of the equation. -4xL + 4xL = -10L + -10l + lx + 4xL Combine like terms: -4xL + 4xL = 0 0 = -10L + -10l + lx + 4xL Simplifying 0 = -10L + -10l + lx + 4xL 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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