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Simplifying Log[8](3x + 1) + 16 = 18 Reorder the terms: goL * 8(1 + 3x) + 16 = 18 Reorder the terms for easier multiplication: 8goL(1 + 3x) + 16 = 18 (1 * 8goL + 3x * 8goL) + 16 = 18 (8goL + 24goxL) + 16 = 18 Reorder the terms: 16 + 8goL + 24goxL = 18 Solving 16 + 8goL + 24goxL = 18 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8goL + -16 + 24goxL = 18 + -16 Reorder the terms: 16 + -16 + 8goL + 24goxL = 18 + -16 Combine like terms: 16 + -16 = 0 0 + 8goL + 24goxL = 18 + -16 8goL + 24goxL = 18 + -16 Combine like terms: 18 + -16 = 2 8goL + 24goxL = 2 Reorder the terms: -2 + 8goL + 24goxL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 8goL + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 4goL + 12goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 4goL + 12goxL)' equal to zero and attempt to solve: Simplifying -1 + 4goL + 12goxL = 0 Solving -1 + 4goL + 12goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4goL + 1 + 12goxL = 0 + 1 Reorder the terms: -1 + 1 + 4goL + 12goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4goL + 12goxL = 0 + 1 4goL + 12goxL = 0 + 1 Combine like terms: 0 + 1 = 1 4goL + 12goxL = 1 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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