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Simplifying 7log(2x + 8) = 35 Reorder the terms: 7glo(8 + 2x) = 35 (8 * 7glo + 2x * 7glo) = 35 (56glo + 14glox) = 35 Solving 56glo + 14glox = 35 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -35 + 56glo + 14glox = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 56glo + 14glox = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-5 + 8glo + 2glox) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-5 + 8glo + 2glox)' equal to zero and attempt to solve: Simplifying -5 + 8glo + 2glox = 0 Solving -5 + 8glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 8glo + 5 + 2glox = 0 + 5 Reorder the terms: -5 + 5 + 8glo + 2glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8glo + 2glox = 0 + 5 8glo + 2glox = 0 + 5 Combine like terms: 0 + 5 = 5 8glo + 2glox = 5 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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