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Simplifying 5log(4x + 8) + -6 = 9 Reorder the terms: 5glo(8 + 4x) + -6 = 9 (8 * 5glo + 4x * 5glo) + -6 = 9 (40glo + 20glox) + -6 = 9 Reorder the terms: -6 + 40glo + 20glox = 9 Solving -6 + 40glo + 20glox = 9 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 + 40glo + 6 + 20glox = 9 + 6 Reorder the terms: -6 + 6 + 40glo + 20glox = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 40glo + 20glox = 9 + 6 40glo + 20glox = 9 + 6 Combine like terms: 9 + 6 = 15 40glo + 20glox = 15 Reorder the terms: -15 + 40glo + 20glox = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 40glo + 20glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + 8glo + 4glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + 8glo + 4glox)' equal to zero and attempt to solve: Simplifying -3 + 8glo + 4glox = 0 Solving -3 + 8glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8glo + 3 + 4glox = 0 + 3 Reorder the terms: -3 + 3 + 8glo + 4glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8glo + 4glox = 0 + 3 8glo + 4glox = 0 + 3 Combine like terms: 0 + 3 = 3 8glo + 4glox = 3 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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