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Simplifying 3log(x) + -3log(2) = 7log(343) Multiply glo * x 3glox + -3log(2) = 7log(343) Reorder the terms for easier multiplication: 3glox + -3 * 2glo = 7log(343) Multiply -3 * 2 3glox + -6glo = 7log(343) Reorder the terms: -6glo + 3glox = 7log(343) Reorder the terms for easier multiplication: -6glo + 3glox = 7 * 343glo Multiply 7 * 343 -6glo + 3glox = 2401glo Solving -6glo + 3glox = 2401glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2401glo' to each side of the equation. -6glo + -2401glo + 3glox = 2401glo + -2401glo Combine like terms: -6glo + -2401glo = -2407glo -2407glo + 3glox = 2401glo + -2401glo Combine like terms: 2401glo + -2401glo = 0 -2407glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2407 + 3x) = 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 '(-2407 + 3x)' equal to zero and attempt to solve: Simplifying -2407 + 3x = 0 Solving -2407 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '2407' to each side of the equation. -2407 + 2407 + 3x = 0 + 2407 Combine like terms: -2407 + 2407 = 0 0 + 3x = 0 + 2407 3x = 0 + 2407 Combine like terms: 0 + 2407 = 2407 3x = 2407 Add '-3x' to each side of the equation. 3x + -3x = 2407 + -3x Combine like terms: 3x + -3x = 0 0 = 2407 + -3x Simplifying 0 = 2407 + -3x 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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