For a given number alpha 1,which of the fol | vedclass

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(B) We know that for $\alpha > 1$,the value of $\log_{b}\alpha = \frac{\ln \alpha}{\ln b}$.Since $\ln \alpha$ is positive,the value of $\log_{b}\alpha

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$\log_{10}\alpha, \log_{3}\alpha, \log_{e}\alpha, \log_{2}\alpha$

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(B) We know that for $\alpha > 1$,the value of $\log_{b}\alpha = \frac{\ln \alpha}{\ln b}$.Since $\ln \alpha$ is positive,the value of $\log_{b}\alpha$ decreases as the base $b$ increases.The bases are $2, e \approx 2.718, 3, 10$.Since $2 < e < 3 < 10$,the values follow the order $\log_{10}\alpha < \log_{3}\alpha < \log_{e}\alpha < \log_{2}\alpha$.

For a given number $\alpha > 1$,which of the following is the correct ascending order?

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