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Simplifying 6log(5x + -2) = 12 Reorder the terms: 6glo(-2 + 5x) = 12 (-2 * 6glo + 5x * 6glo) = 12 (-12glo + 30glox) = 12 Solving -12glo + 30glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + -12glo + 30glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -12glo + 30glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -2glo + 5glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -2glo + 5glox)' equal to zero and attempt to solve: Simplifying -2 + -2glo + 5glox = 0 Solving -2 + -2glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2glo + 2 + 5glox = 0 + 2 Reorder the terms: -2 + 2 + -2glo + 5glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2glo + 5glox = 0 + 2 -2glo + 5glox = 0 + 2 Combine like terms: 0 + 2 = 2 -2glo + 5glox = 2 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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