Solve -log_{left(-cos(pi)-cos(pi)right)}({log_{pi}({pi})})

$$- \log_{ \left(- \cos ( \pi ) - \cos ( \pi ) \right) }({ \log_{ \pi }({ \pi }) })$$

Evaluate

$$0$$

Solution Steps

Get the value of \cos(\pi ) from trigonometric values table.

$$-\log_{-\left(-1\right)-\cos(\pi )}\left(\log_{\pi }\left(\pi \right)\right)$$

The opposite of -1 is 1.

$$-\log_{1-\cos(\pi )}\left(\log_{\pi }\left(\pi \right)\right)$$

Get the value of \cos(\pi ) from trigonometric values table.

$$-\log_{1-\left(-1\right)}\left(\log_{\pi }\left(\pi \right)\right)$$

The opposite of -1 is 1.

$$-\log_{1+1}\left(\log_{\pi }\left(\pi \right)\right)$$

Add 1 and 1 to get 2.

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

The base \pi logarithm of \pi is 1.

$$-\log_{2}\left(1\right)$$

The base 2 logarithm of 1 is 0.

$$0$$

Factor

$$0$$