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Simplifying 4log[6](2x + -9) = 8 Reorder the terms: 4glo * 6(-9 + 2x) = 8 Reorder the terms for easier multiplication: 4 * 6glo(-9 + 2x) = 8 Multiply 4 * 6 24glo(-9 + 2x) = 8 (-9 * 24glo + 2x * 24glo) = 8 (-216glo + 48glox) = 8 Solving -216glo + 48glox = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + -216glo + 48glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -216glo + 48glox = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-1 + -27glo + 6glox) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + -27glo + 6glox)' equal to zero and attempt to solve: Simplifying -1 + -27glo + 6glox = 0 Solving -1 + -27glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -27glo + 1 + 6glox = 0 + 1 Reorder the terms: -1 + 1 + -27glo + 6glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -27glo + 6glox = 0 + 1 -27glo + 6glox = 0 + 1 Combine like terms: 0 + 1 = 1 -27glo + 6glox = 1 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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