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Simplifying log(6)(3x + -7) = 4 Reorder the terms: glo * 6(-7 + 3x) = 4 Reorder the terms for easier multiplication: 6glo(-7 + 3x) = 4 (-7 * 6glo + 3x * 6glo) = 4 (-42glo + 18glox) = 4 Solving -42glo + 18glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -42glo + 18glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -42glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -21glo + 9glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -21glo + 9glox)' equal to zero and attempt to solve: Simplifying -2 + -21glo + 9glox = 0 Solving -2 + -21glo + 9glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -21glo + 2 + 9glox = 0 + 2 Reorder the terms: -2 + 2 + -21glo + 9glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -21glo + 9glox = 0 + 2 -21glo + 9glox = 0 + 2 Combine like terms: 0 + 2 = 2 -21glo + 9glox = 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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