Factor
\frac{9\ln(q)-11\ln(p)}{3\ln(a)}
Evaluate
\frac{9\ln(q)-11\ln(p)}{3\ln(a)}
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\frac{\log_{a}\left(p\right)+9\log_{a}\left(q\right)-12\log_{a}\left(p\right)}{3}
Factor out \frac{1}{3}.
\frac{\ln(p)+9\ln(q)-12\ln(p)}{\ln(a)}
Consider \ln(p)\times \frac{1}{\ln(a)}+9\ln(q)\times \frac{1}{\ln(a)}-12\ln(p)\times \frac{1}{\ln(a)}. Factor out \frac{1}{\ln(a)}.
\frac{\ln(p)+9\ln(q)-12\ln(p)}{3\ln(a)}
Rewrite the complete factored expression.
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Limits
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