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Simplifying og(-1x + -2) = log(3x) + -1log(x) Reorder the terms: go(-2 + -1x) = log(3x) + -1log(x) (-2 * go + -1x * go) = log(3x) + -1log(x) (-2go + -1gox) = log(3x) + -1log(x) Remove parenthesis around (3x) -2go + -1gox = glo * 3x + -1log(x) Reorder the terms for easier multiplication: -2go + -1gox = 3glo * x + -1log(x) Multiply glo * x -2go + -1gox = 3glox + -1log(x) Multiply glo * x -2go + -1gox = 3glox + -1glox Combine like terms: 3glox + -1glox = 2glox -2go + -1gox = 2glox Solving -2go + -1gox = 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. -2go + -2glox + -1gox = 2glox + -2glox Reorder the terms: -2glox + -2go + -1gox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glox + -2go + -1gox = 0 Factor out the Greatest Common Factor (GCF), '-1go'. -1go(2lx + 2 + x) = 0 Ignore the factor -1.Subproblem 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 + 2 + x)' equal to zero and attempt to solve: Simplifying 2lx + 2 + x = 0 Reorder the terms: 2 + 2lx + x = 0 Solving 2 + 2lx + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2lx + -2 + x = 0 + -2 Reorder the terms: 2 + -2 + 2lx + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2lx + x = 0 + -2 2lx + x = 0 + -2 Combine like terms: 0 + -2 = -2 2lx + x = -2 Add '-2lx' to each side of the equation. 2lx + -2lx + x = -2 + -2lx Combine like terms: 2lx + -2lx = 0 0 + x = -2 + -2lx x = -2 + -2lx Add '-1x' to each side of the equation. x + -1x = -2 + -2lx + -1x Combine like terms: x + -1x = 0 0 = -2 + -2lx + -1x Simplifying 0 = -2 + -2lx + -1x 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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