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Simplifying 10log(3x + 5) = 20 Reorder the terms: 10glo(5 + 3x) = 20 (5 * 10glo + 3x * 10glo) = 20 (50glo + 30glox) = 20 Solving 50glo + 30glox = 20 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -20 + 50glo + 30glox = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 50glo + 30glox = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-2 + 5glo + 3glox) = 0 Ignore the factor 10.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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