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Simplifying 5log(4x + -12) + -6 = 4 Reorder the terms: 5glo(-12 + 4x) + -6 = 4 (-12 * 5glo + 4x * 5glo) + -6 = 4 (-60glo + 20glox) + -6 = 4 Reorder the terms: -6 + -60glo + 20glox = 4 Solving -6 + -60glo + 20glox = 4 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 + -60glo + 6 + 20glox = 4 + 6 Reorder the terms: -6 + 6 + -60glo + 20glox = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -60glo + 20glox = 4 + 6 -60glo + 20glox = 4 + 6 Combine like terms: 4 + 6 = 10 -60glo + 20glox = 10 Reorder the terms: -10 + -60glo + 20glox = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -60glo + 20glox = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-1 + -6glo + 2glox) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-1 + -6glo + 2glox)' equal to zero and attempt to solve: Simplifying -1 + -6glo + 2glox = 0 Solving -1 + -6glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6glo + 1 + 2glox = 0 + 1 Reorder the terms: -1 + 1 + -6glo + 2glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6glo + 2glox = 0 + 1 -6glo + 2glox = 0 + 1 Combine like terms: 0 + 1 = 1 -6glo + 2glox = 1 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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