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Simplifying Log(10 + -4x) = log(1 + -3x) (10 * goL + -4x * goL) = log(1 + -3x) (10goL + -4goxL) = log(1 + -3x) 10goL + -4goxL = (1 * glo + -3x * glo) 10goL + -4goxL = (1glo + -3glox) Solving 10goL + -4goxL = 1glo + -3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glo' to each side of the equation. 10goL + -1glo + -4goxL = 1glo + -1glo + -3glox Reorder the terms: -1glo + 10goL + -4goxL = 1glo + -1glo + -3glox Combine like terms: 1glo + -1glo = 0 -1glo + 10goL + -4goxL = 0 + -3glox -1glo + 10goL + -4goxL = -3glox Add '3glox' to each side of the equation. -1glo + 10goL + 3glox + -4goxL = -3glox + 3glox Reorder the terms: -1glo + 3glox + 10goL + -4goxL = -3glox + 3glox Combine like terms: -3glox + 3glox = 0 -1glo + 3glox + 10goL + -4goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-1l + 3lx + 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 '(-1l + 3lx + 10L + -4xL)' equal to zero and attempt to solve: Simplifying -1l + 3lx + 10L + -4xL = 0 Reorder the terms: 10L + -1l + 3lx + -4xL = 0 Solving 10L + -1l + 3lx + -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 + -1l + 3lx + -10L + -4xL = 0 + -10L Reorder the terms: 10L + -10L + -1l + 3lx + -4xL = 0 + -10L Combine like terms: 10L + -10L = 0 0 + -1l + 3lx + -4xL = 0 + -10L -1l + 3lx + -4xL = 0 + -10L Remove the zero: -1l + 3lx + -4xL = -10L Add 'l' to each side of the equation. -1l + 3lx + l + -4xL = -10L + l Reorder the terms: -1l + l + 3lx + -4xL = -10L + l Combine like terms: -1l + l = 0 0 + 3lx + -4xL = -10L + l 3lx + -4xL = -10L + l Add '-3lx' to each side of the equation. 3lx + -3lx + -4xL = -10L + l + -3lx Combine like terms: 3lx + -3lx = 0 0 + -4xL = -10L + l + -3lx -4xL = -10L + l + -3lx Add '4xL' to each side of the equation. -4xL + 4xL = -10L + l + -3lx + 4xL Combine like terms: -4xL + 4xL = 0 0 = -10L + l + -3lx + 4xL Simplifying 0 = -10L + l + -3lx + 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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