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Simplifying 5 + 6log(x + -5) = 17 Reorder the terms: 5 + 6glo(-5 + x) = 17 5 + (-5 * 6glo + x * 6glo) = 17 5 + (-30glo + 6glox) = 17 Solving 5 + -30glo + 6glox = 17 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -30glo + -5 + 6glox = 17 + -5 Reorder the terms: 5 + -5 + -30glo + 6glox = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -30glo + 6glox = 17 + -5 -30glo + 6glox = 17 + -5 Combine like terms: 17 + -5 = 12 -30glo + 6glox = 12 Reorder the terms: -12 + -30glo + 6glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -30glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -5glo + glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -5glo + glox)' equal to zero and attempt to solve: Simplifying -2 + -5glo + glox = 0 Solving -2 + -5glo + glox = 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 + glox = 0 + 2 Reorder the terms: -2 + 2 + -5glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5glo + glox = 0 + 2 -5glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 -5glo + glox = 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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