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Simplifying 2log[2](9x + 5) = 6 Reorder the terms: 2glo * 2(5 + 9x) = 6 Reorder the terms for easier multiplication: 2 * 2glo(5 + 9x) = 6 Multiply 2 * 2 4glo(5 + 9x) = 6 (5 * 4glo + 9x * 4glo) = 6 (20glo + 36glox) = 6 Solving 20glo + 36glox = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + 20glo + 36glox = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 20glo + 36glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 10glo + 18glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 10glo + 18glox)' equal to zero and attempt to solve: Simplifying -3 + 10glo + 18glox = 0 Solving -3 + 10glo + 18glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 10glo + 3 + 18glox = 0 + 3 Reorder the terms: -3 + 3 + 10glo + 18glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10glo + 18glox = 0 + 3 10glo + 18glox = 0 + 3 Combine like terms: 0 + 3 = 3 10glo + 18glox = 3 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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