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Simplifying 6 + 2log(5x + -3) = 10 Reorder the terms: 6 + 2glo(-3 + 5x) = 10 6 + (-3 * 2glo + 5x * 2glo) = 10 6 + (-6glo + 10glox) = 10 Solving 6 + -6glo + 10glox = 10 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6glo + -6 + 10glox = 10 + -6 Reorder the terms: 6 + -6 + -6glo + 10glox = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -6glo + 10glox = 10 + -6 -6glo + 10glox = 10 + -6 Combine like terms: 10 + -6 = 4 -6glo + 10glox = 4 Reorder the terms: -4 + -6glo + 10glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -6glo + 10glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -3glo + 5glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3glo + 5glox)' equal to zero and attempt to solve: Simplifying -2 + -3glo + 5glox = 0 Solving -2 + -3glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3glo + 2 + 5glox = 0 + 2 Reorder the terms: -2 + 2 + -3glo + 5glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3glo + 5glox = 0 + 2 -3glo + 5glox = 0 + 2 Combine like terms: 0 + 2 = 2 -3glo + 5glox = 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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