Question 1

$$\log_{\frac{1}{2009}} 2009 =$$

Solution

Since $$\frac{1}{2009} = 2009^{-1}$$, we have $$\left(\frac{1}{2009}\right)^{-1} = 2009$$. So $$\log_{\frac{1}{2009}} 2009 = -1$$.

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