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Simplifying 7log(10x + 30) = 21 Reorder the terms: 7glo(30 + 10x) = 21 (30 * 7glo + 10x * 7glo) = 21 (210glo + 70glox) = 21 Solving 210glo + 70glox = 21 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -21 + 210glo + 70glox = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 210glo + 70glox = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-3 + 30glo + 10glox) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + 30glo + 10glox)' equal to zero and attempt to solve: Simplifying -3 + 30glo + 10glox = 0 Solving -3 + 30glo + 10glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 30glo + 3 + 10glox = 0 + 3 Reorder the terms: -3 + 3 + 30glo + 10glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 30glo + 10glox = 0 + 3 30glo + 10glox = 0 + 3 Combine like terms: 0 + 3 = 3 30glo + 10glox = 3 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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