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Simplifying 5log(7x + 1) = 10 Reorder the terms: 5glo(1 + 7x) = 10 (1 * 5glo + 7x * 5glo) = 10 (5glo + 35glox) = 10 Solving 5glo + 35glox = 10 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -10 + 5glo + 35glox = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 5glo + 35glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + glo + 7glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + glo + 7glox)' equal to zero and attempt to solve: Simplifying -2 + glo + 7glox = 0 Solving -2 + glo + 7glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + glo + 2 + 7glox = 0 + 2 Reorder the terms: -2 + 2 + glo + 7glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + glo + 7glox = 0 + 2 glo + 7glox = 0 + 2 Combine like terms: 0 + 2 = 2 glo + 7glox = 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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