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Simplifying 6log[4](2x + -6) = 12 Reorder the terms: 6glo * 4(-6 + 2x) = 12 Reorder the terms for easier multiplication: 6 * 4glo(-6 + 2x) = 12 Multiply 6 * 4 24glo(-6 + 2x) = 12 (-6 * 24glo + 2x * 24glo) = 12 (-144glo + 48glox) = 12 Solving -144glo + 48glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + -144glo + 48glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -144glo + 48glox = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-1 + -12glo + 4glox) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-1 + -12glo + 4glox)' equal to zero and attempt to solve: Simplifying -1 + -12glo + 4glox = 0 Solving -1 + -12glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -12glo + 1 + 4glox = 0 + 1 Reorder the terms: -1 + 1 + -12glo + 4glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -12glo + 4glox = 0 + 1 -12glo + 4glox = 0 + 1 Combine like terms: 0 + 1 = 1 -12glo + 4glox = 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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