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Simplifying log(x2) + -1log(2x) = log(4) Multiply glo * x2 glox2 + -1log(2x) = log(4) Remove parenthesis around (2x) glox2 + -1glo * 2x = log(4) Reorder the terms for easier multiplication: glox2 + -1 * 2glo * x = log(4) Multiply -1 * 2 glox2 + -2glo * x = log(4) Multiply glo * x glox2 + -2glox = log(4) Reorder the terms: -2glox + glox2 = log(4) Reorder the terms for easier multiplication: -2glox + glox2 = 4glo Solving -2glox + glox2 = 4glo 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. -2glox + -4glo + glox2 = 4glo + -4glo Reorder the terms: -4glo + -2glox + glox2 = 4glo + -4glo Combine like terms: 4glo + -4glo = 0 -4glo + -2glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-4 + -2x + x2) = 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 + x2)' equal to zero and attempt to solve: Simplifying -4 + -2x + x2 = 0 Solving -4 + -2x + x2 = 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 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -2x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x + x2 = 0 + 4 -2x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -2x + x2 = 4 Add '2x' to each side of the equation. -2x + 2x + x2 = 4 + 2x Combine like terms: -2x + 2x = 0 0 + x2 = 4 + 2x x2 = 4 + 2x Add '-1x2' to each side of the equation. x2 + -1x2 = 4 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 4 + 2x + -1x2 Simplifying 0 = 4 + 2x + -1x2 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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