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Simplifying log(x4) = 2log(x) + log(4) Multiply glo * x4 glox4 = 2log(x) + log(4) Multiply glo * x glox4 = 2glox + log(4) Reorder the terms for easier multiplication: glox4 = 2glox + 4glo Reorder the terms: glox4 = 4glo + 2glox Solving glox4 = 4glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. -4glo + glox4 = 4glo + -4glo + 2glox Combine like terms: 4glo + -4glo = 0 -4glo + glox4 = 0 + 2glox -4glo + glox4 = 2glox Add '-2glox' to each side of the equation. -4glo + -2glox + glox4 = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -4glo + -2glox + glox4 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-4 + -2x + x4) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-4 + -2x + x4)' equal to zero and attempt to solve: Simplifying -4 + -2x + x4 = 0 Solving -4 + -2x + x4 = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2x + 4 + x4 = 0 + 4 Reorder the terms: -4 + 4 + -2x + x4 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x + x4 = 0 + 4 -2x + x4 = 0 + 4 Combine like terms: 0 + 4 = 4 -2x + x4 = 4 Add '2x' to each side of the equation. -2x + 2x + x4 = 4 + 2x Combine like terms: -2x + 2x = 0 0 + x4 = 4 + 2x x4 = 4 + 2x Add '-1x4' to each side of the equation. x4 + -1x4 = 4 + 2x + -1x4 Combine like terms: x4 + -1x4 = 0 0 = 4 + 2x + -1x4 Simplifying 0 = 4 + 2x + -1x4 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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