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Simplifying log(2)(2x3 + -8) + -2log(2) * x = log(2) * x Reorder the terms: glo * 2(-8 + 2x3) + -2log(2) * x = log(2) * x Reorder the terms for easier multiplication: 2glo(-8 + 2x3) + -2log(2) * x = log(2) * x (-8 * 2glo + 2x3 * 2glo) + -2log(2) * x = log(2) * x (-16glo + 4glox3) + -2log(2) * x = log(2) * x Reorder the terms for easier multiplication: -16glo + 4glox3 + -2 * 2glo * x = log(2) * x Multiply -2 * 2 -16glo + 4glox3 + -4glo * x = log(2) * x Multiply glo * x -16glo + 4glox3 + -4glox = log(2) * x Reorder the terms: -16glo + -4glox + 4glox3 = log(2) * x Reorder the terms for easier multiplication: -16glo + -4glox + 4glox3 = 2glo * x Multiply glo * x -16glo + -4glox + 4glox3 = 2glox Solving -16glo + -4glox + 4glox3 = 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. -16glo + -4glox + -2glox + 4glox3 = 2glox + -2glox Combine like terms: -4glox + -2glox = -6glox -16glo + -6glox + 4glox3 = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -16glo + -6glox + 4glox3 = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-8 + -3x + 2x3) = 0 Ignore the factor 2.Subproblem 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 '(-8 + -3x + 2x3)' equal to zero and attempt to solve: Simplifying -8 + -3x + 2x3 = 0 Solving -8 + -3x + 2x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3x + 8 + 2x3 = 0 + 8 Reorder the terms: -8 + 8 + -3x + 2x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x + 2x3 = 0 + 8 -3x + 2x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -3x + 2x3 = 8 Add '3x' to each side of the equation. -3x + 3x + 2x3 = 8 + 3x Combine like terms: -3x + 3x = 0 0 + 2x3 = 8 + 3x 2x3 = 8 + 3x Add '-2x3' to each side of the equation. 2x3 + -2x3 = 8 + 3x + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = 8 + 3x + -2x3 Simplifying 0 = 8 + 3x + -2x3 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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