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Simplifying -9log(x + 8) = -18 Reorder the terms: -9glo(8 + x) = -18 (8 * -9glo + x * -9glo) = -18 (-72glo + -9glox) = -18 Solving -72glo + -9glox = -18 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 18 + -72glo + -9glox = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -72glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(2 + -8glo + -1glox) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(2 + -8glo + -1glox)' equal to zero and attempt to solve: Simplifying 2 + -8glo + -1glox = 0 Solving 2 + -8glo + -1glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -8glo + -2 + -1glox = 0 + -2 Reorder the terms: 2 + -2 + -8glo + -1glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8glo + -1glox = 0 + -2 -8glo + -1glox = 0 + -2 Combine like terms: 0 + -2 = -2 -8glo + -1glox = -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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