Solve 1/pilnsqrt{2}-1/pilnsqrt{2}

$$\frac { 1 } { \pi } \ln \sqrt { 2 } - \frac { 1 } { \pi } \ln \sqrt { 2 }$$

Evaluate

$$0$$

Solution Steps

Express \frac{1}{\pi }\log_{e}\left(\sqrt{2}\right) as a single fraction.

$$\frac{\log_{e}\left(\sqrt{2}\right)}{\pi }-\frac{1}{\pi }\log_{e}\left(\sqrt{2}\right)$$

Express \frac{1}{\pi }\log_{e}\left(\sqrt{2}\right) as a single fraction.

$$\frac{\log_{e}\left(\sqrt{2}\right)}{\pi }-\frac{\log_{e}\left(\sqrt{2}\right)}{\pi }$$

Subtract \frac{\log_{e}\left(\sqrt{2}\right)}{\pi } from \frac{\log_{e}\left(\sqrt{2}\right)}{\pi } to get 0.

$$0$$

Factor

$$0$$