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Simplifying log(13)(x2 + -4) = log(13) * 3x Reorder the terms: glo * 13(-4 + x2) = log(13) * 3x Reorder the terms for easier multiplication: 13glo(-4 + x2) = log(13) * 3x (-4 * 13glo + x2 * 13glo) = log(13) * 3x (-52glo + 13glox2) = log(13) * 3x Reorder the terms for easier multiplication: -52glo + 13glox2 = 13 * 3glo * x Multiply 13 * 3 -52glo + 13glox2 = 39glo * x Multiply glo * x -52glo + 13glox2 = 39glox Solving -52glo + 13glox2 = 39glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-39glox' to each side of the equation. -52glo + -39glox + 13glox2 = 39glox + -39glox Combine like terms: 39glox + -39glox = 0 -52glo + -39glox + 13glox2 = 0 Factor out the Greatest Common Factor (GCF), '13glo'. 13glo(-4 + -3x + x2) = 0 Factor a trinomial. 13glo((-1 + -1x)(4 + -1x)) = 0 Ignore the factor 13.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 '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Add 'x' to each side of the equation. -1x + x = 1 + x Combine like terms: -1x + x = 0 0 = 1 + x Simplifying 0 = 1 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x 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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