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Simplifying Log[2](3x + 2) = 8 Reorder the terms: goL * 2(2 + 3x) = 8 Reorder the terms for easier multiplication: 2goL(2 + 3x) = 8 (2 * 2goL + 3x * 2goL) = 8 (4goL + 6goxL) = 8 Solving 4goL + 6goxL = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + 4goL + 6goxL = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4goL + 6goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2goL + 3goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2goL + 3goxL)' equal to zero and attempt to solve: Simplifying -4 + 2goL + 3goxL = 0 Solving -4 + 2goL + 3goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2goL + 4 + 3goxL = 0 + 4 Reorder the terms: -4 + 4 + 2goL + 3goxL = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2goL + 3goxL = 0 + 4 2goL + 3goxL = 0 + 4 Combine like terms: 0 + 4 = 4 2goL + 3goxL = 4 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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