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