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Simplifying 5log(x + -3) + 2 = 22 Reorder the terms: 5glo(-3 + x) + 2 = 22 (-3 * 5glo + x * 5glo) + 2 = 22 (-15glo + 5glox) + 2 = 22 Reorder the terms: 2 + -15glo + 5glox = 22 Solving 2 + -15glo + 5glox = 22 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -15glo + -2 + 5glox = 22 + -2 Reorder the terms: 2 + -2 + -15glo + 5glox = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -15glo + 5glox = 22 + -2 -15glo + 5glox = 22 + -2 Combine like terms: 22 + -2 = 20 -15glo + 5glox = 20 Reorder the terms: -20 + -15glo + 5glox = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -15glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + -3glo + glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -3glo + glox)' equal to zero and attempt to solve: Simplifying -4 + -3glo + glox = 0 Solving -4 + -3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -3glo + 4 + glox = 0 + 4 Reorder the terms: -4 + 4 + -3glo + glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3glo + glox = 0 + 4 -3glo + glox = 0 + 4 Combine like terms: 0 + 4 = 4 -3glo + glox = 4 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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