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Simplifying 4log(5q + -3) = 12 Reorder the terms: 4glo(-3 + 5q) = 12 (-3 * 4glo + 5q * 4glo) = 12 (-12glo + 20gloq) = 12 Solving -12glo + 20gloq = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + -12glo + 20gloq = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -12glo + 20gloq = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -3glo + 5gloq) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -3glo + 5gloq)' equal to zero and attempt to solve: Simplifying -3 + -3glo + 5gloq = 0 Solving -3 + -3glo + 5gloq = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3glo + 3 + 5gloq = 0 + 3 Reorder the terms: -3 + 3 + -3glo + 5gloq = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3glo + 5gloq = 0 + 3 -3glo + 5gloq = 0 + 3 Combine like terms: 0 + 3 = 3 -3glo + 5gloq = 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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