Which one of the following observations is co | vedclass

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(C) For the logarithm function $f(x) = \log_{b}(x)$ with base $b > 1$:$1$. The domain is $(0, \infty)$,which is the set of all positive real numbers $

Vedclass · Accepted Answer

The point $(1, 0)$ is always on the graph of the logarithm function.

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(C) For the logarithm function $f(x) = \log_{b}(x)$ with base $b > 1$:$1$. The domain is $(0, \infty)$,which is the set of all positive real numbers $R^{+}$.$2$. The range is $(-\infty, \infty)$,which is the set of all real numbers $R$.$3$. Since $\log_{b}(1) = 0$ for any base $b > 0, b 
eq 1$,the point $(1, 0)$ always lies on the graph.$4$. Since $b > 1$,the function is strictly increasing,not decreasing.Therefore,the correct observation is that the point $(1, 0)$ is always on the graph of the logarithm function.

Which one of the following observations is correct for the features of the logarithm function to any base $b > 1$?

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