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Simplifying log[2](3x + -5) = 16 Reorder the terms: glo * 2(-5 + 3x) = 16 Reorder the terms for easier multiplication: 2glo(-5 + 3x) = 16 (-5 * 2glo + 3x * 2glo) = 16 (-10glo + 6glox) = 16 Solving -10glo + 6glox = 16 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -16 + -10glo + 6glox = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -10glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -5glo + 3glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -5glo + 3glox)' equal to zero and attempt to solve: Simplifying -8 + -5glo + 3glox = 0 Solving -8 + -5glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -5glo + 8 + 3glox = 0 + 8 Reorder the terms: -8 + 8 + -5glo + 3glox = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5glo + 3glox = 0 + 8 -5glo + 3glox = 0 + 8 Combine like terms: 0 + 8 = 8 -5glo + 3glox = 8 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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