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Simplifying log[12](4x + -9) = log[12] * 3x Reorder the terms: glo * 12(-9 + 4x) = log[12] * 3x Reorder the terms for easier multiplication: 12glo(-9 + 4x) = log[12] * 3x (-9 * 12glo + 4x * 12glo) = log[12] * 3x (-108glo + 48glox) = log[12] * 3x Reorder the terms for easier multiplication: -108glo + 48glox = 12 * 3glo * x Multiply 12 * 3 -108glo + 48glox = 36glo * x Multiply glo * x -108glo + 48glox = 36glox Solving -108glo + 48glox = 36glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glox' to each side of the equation. -108glo + 48glox + -36glox = 36glox + -36glox Combine like terms: 48glox + -36glox = 12glox -108glo + 12glox = 36glox + -36glox Combine like terms: 36glox + -36glox = 0 -108glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-9 + x) = 0 Ignore the factor 12.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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -1x 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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