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Simplifying Log(x + -5) = log(2x) Reorder the terms: goL(-5 + x) = log(2x) (-5 * goL + x * goL) = log(2x) (-5goL + goxL) = log(2x) Remove parenthesis around (2x) -5goL + goxL = glo * 2x Reorder the terms for easier multiplication: -5goL + goxL = 2glo * x Multiply glo * x -5goL + goxL = 2glox Solving -5goL + goxL = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. -5goL + -2glox + goxL = 2glox + -2glox Reorder the terms: -2glox + -5goL + goxL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glox + -5goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2lx + -5L + 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 '(-2lx + -5L + xL)' equal to zero and attempt to solve: Simplifying -2lx + -5L + xL = 0 Reorder the terms: -5L + -2lx + xL = 0 Solving -5L + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '5L' to each side of the equation. -5L + -2lx + 5L + xL = 0 + 5L Reorder the terms: -5L + 5L + -2lx + xL = 0 + 5L Combine like terms: -5L + 5L = 0 0 + -2lx + xL = 0 + 5L -2lx + xL = 0 + 5L Remove the zero: -2lx + xL = 5L Add '2lx' to each side of the equation. -2lx + 2lx + xL = 5L + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = 5L + 2lx xL = 5L + 2lx Add '-1xL' to each side of the equation. xL + -1xL = 5L + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = 5L + 2lx + -1xL Simplifying 0 = 5L + 2lx + -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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