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Simplifying Log(1 + -1x) = log(1000) (1 * goL + -1x * goL) = log(1000) (1goL + -1goxL) = log(1000) Reorder the terms for easier multiplication: 1goL + -1goxL = 1000glo Solving 1goL + -1goxL = 1000glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1000glo' to each side of the equation. 1goL + -1000glo + -1goxL = 1000glo + -1000glo Reorder the terms: -1000glo + 1goL + -1goxL = 1000glo + -1000glo Combine like terms: 1000glo + -1000glo = 0 -1000glo + 1goL + -1goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-1000l + L + -1xL) = 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 '(-1000l + L + -1xL)' equal to zero and attempt to solve: Simplifying -1000l + L + -1xL = 0 Reorder the terms: L + -1000l + -1xL = 0 Solving L + -1000l + -1xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1000l + -1L + -1xL = 0 + -1L Reorder the terms: L + -1L + -1000l + -1xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -1000l + -1xL = 0 + -1L -1000l + -1xL = 0 + -1L Remove the zero: -1000l + -1xL = -1L Add '1000l' to each side of the equation. -1000l + 1000l + -1xL = -1L + 1000l Combine like terms: -1000l + 1000l = 0 0 + -1xL = -1L + 1000l -1xL = -1L + 1000l Add 'xL' to each side of the equation. -1xL + xL = -1L + 1000l + xL Combine like terms: -1xL + xL = 0 0 = -1L + 1000l + xL Simplifying 0 = -1L + 1000l + xL 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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