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Simplifying log[4](3x + 5) = 8 Reorder the terms: glo * 4(5 + 3x) = 8 Reorder the terms for easier multiplication: 4glo(5 + 3x) = 8 (5 * 4glo + 3x * 4glo) = 8 (20glo + 12glox) = 8 Solving 20glo + 12glox = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + 20glo + 12glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 20glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + 5glo + 3glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + 5glo + 3glox)' equal to zero and attempt to solve: Simplifying -2 + 5glo + 3glox = 0 Solving -2 + 5glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5glo + 2 + 3glox = 0 + 2 Reorder the terms: -2 + 2 + 5glo + 3glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5glo + 3glox = 0 + 2 5glo + 3glox = 0 + 2 Combine like terms: 0 + 2 = 2 5glo + 3glox = 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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