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Simplifying Log(x + 1) + -1log(x) = log(31) Reorder the terms: goL(1 + x) + -1log(x) = log(31) (1 * goL + x * goL) + -1log(x) = log(31) (1goL + goxL) + -1log(x) = log(31) Multiply glo * x 1goL + goxL + -1glox = log(31) Reorder the terms: -1glox + 1goL + goxL = log(31) Reorder the terms for easier multiplication: -1glox + 1goL + goxL = 31glo Solving -1glox + 1goL + goxL = 31glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-31glo' to each side of the equation. -1glox + 1goL + -31glo + goxL = 31glo + -31glo Reorder the terms: -31glo + -1glox + 1goL + goxL = 31glo + -31glo Combine like terms: 31glo + -31glo = 0 -31glo + -1glox + 1goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-31l + -1lx + L + 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 '(-31l + -1lx + L + xL)' equal to zero and attempt to solve: Simplifying -31l + -1lx + L + xL = 0 Reorder the terms: L + -31l + -1lx + xL = 0 Solving L + -31l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -31l + -1lx + -1L + xL = 0 + -1L Reorder the terms: L + -1L + -31l + -1lx + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -31l + -1lx + xL = 0 + -1L -31l + -1lx + xL = 0 + -1L Remove the zero: -31l + -1lx + xL = -1L Add '31l' to each side of the equation. -31l + -1lx + 31l + xL = -1L + 31l Reorder the terms: -31l + 31l + -1lx + xL = -1L + 31l Combine like terms: -31l + 31l = 0 0 + -1lx + xL = -1L + 31l -1lx + xL = -1L + 31l Add 'lx' to each side of the equation. -1lx + lx + xL = -1L + 31l + lx Combine like terms: -1lx + lx = 0 0 + xL = -1L + 31l + lx xL = -1L + 31l + lx Add '-1xL' to each side of the equation. xL + -1xL = -1L + 31l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1L + 31l + lx + -1xL Simplifying 0 = -1L + 31l + lx + -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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