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Simplifying 3log[8](2x + -5) = 6 Reorder the terms: 3glo * 8(-5 + 2x) = 6 Reorder the terms for easier multiplication: 3 * 8glo(-5 + 2x) = 6 Multiply 3 * 8 24glo(-5 + 2x) = 6 (-5 * 24glo + 2x * 24glo) = 6 (-120glo + 48glox) = 6 Solving -120glo + 48glox = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + -120glo + 48glox = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -120glo + 48glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -20glo + 8glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -20glo + 8glox)' equal to zero and attempt to solve: Simplifying -1 + -20glo + 8glox = 0 Solving -1 + -20glo + 8glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -20glo + 1 + 8glox = 0 + 1 Reorder the terms: -1 + 1 + -20glo + 8glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -20glo + 8glox = 0 + 1 -20glo + 8glox = 0 + 1 Combine like terms: 0 + 1 = 1 -20glo + 8glox = 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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