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Simplifying 15log(6 + -8x) + -18 = 42 (6 * 15glo + -8x * 15glo) + -18 = 42 (90glo + -120glox) + -18 = 42 Reorder the terms: -18 + 90glo + -120glox = 42 Solving -18 + 90glo + -120glox = 42 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 90glo + 18 + -120glox = 42 + 18 Reorder the terms: -18 + 18 + 90glo + -120glox = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 90glo + -120glox = 42 + 18 90glo + -120glox = 42 + 18 Combine like terms: 42 + 18 = 60 90glo + -120glox = 60 Reorder the terms: -60 + 90glo + -120glox = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 90glo + -120glox = 0 Factor out the Greatest Common Factor (GCF), '30'. 30(-2 + 3glo + -4glox) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(-2 + 3glo + -4glox)' equal to zero and attempt to solve: Simplifying -2 + 3glo + -4glox = 0 Solving -2 + 3glo + -4glox = 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 + -4glox = 0 + 2 Reorder the terms: -2 + 2 + 3glo + -4glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3glo + -4glox = 0 + 2 3glo + -4glox = 0 + 2 Combine like terms: 0 + 2 = 2 3glo + -4glox = 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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