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Simplifying Logx + -5 = logx + -1log + -5 Reorder the terms: -5 + goxL = logx + -1log + -5 Reorder the terms: -5 + goxL = -5 + -1glo + glox Add '5' to each side of the equation. -5 + 5 + goxL = -5 + -1glo + 5 + glox Combine like terms: -5 + 5 = 0 0 + goxL = -5 + -1glo + 5 + glox goxL = -5 + -1glo + 5 + glox Reorder the terms: goxL = -5 + 5 + -1glo + glox Combine like terms: -5 + 5 = 0 goxL = 0 + -1glo + glox goxL = -1glo + glox Solving goxL = -1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. glo + goxL = -1glo + glo + glox Combine like terms: -1glo + glo = 0 glo + goxL = 0 + glox glo + goxL = glox Add '-1glox' to each side of the equation. glo + -1glox + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 glo + -1glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(l + -1lx + 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 '(l + -1lx + xL)' equal to zero and attempt to solve: Simplifying l + -1lx + xL = 0 Solving l + -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 + -1lx + -1l + xL = 0 + -1l Reorder the terms: l + -1l + -1lx + xL = 0 + -1l Combine like terms: l + -1l = 0 0 + -1lx + xL = 0 + -1l -1lx + xL = 0 + -1l Remove the zero: -1lx + xL = -1l Add 'lx' to each side of the equation. -1lx + lx + xL = -1l + lx Combine like terms: -1lx + lx = 0 0 + xL = -1l + lx xL = -1l + lx Add '-1xL' to each side of the equation. xL + -1xL = -1l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1l + lx + -1xL Simplifying 0 = -1l + 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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