Alg9.4.46

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Find the value of \frac{\log_9 11}{\log_5 13}-\frac{\log_3 11}{\log_{\sqrt{5}} 13}\,


Applying basic logarithm theory

\frac{\log 11}{\log 9}\cdot \frac{\log 5}{log 13}-\frac{\log 11}{\log 3}\cdot\frac{\log (\sqrt{5})}{\log 13}\,

\frac{\log 11}{2\log 3}\cdot \frac{\log 5}{log 13}-\frac{\log 11}{\log 3}\cdot\frac{\log (5)}{2\log 13}\,

Both the fractions are same,hence the result is zero


Main Page:Algebra:Logarithmic

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