Precalculus Examples

$\log (\frac{3 π}{4})$

Step 1

Rewrite $\log (\frac{3 π}{4})$ as $\log (3 π) - \log (4)$ .

$\log (3 π) - \log (4)$

Step 2

Rewrite $\log (4)$ as $\log (2^{2})$ .

$\log (3 π) - \log (2^{2})$

Step 3

Expand $\log (2^{2})$ by moving $2$ outside the logarithm.

$\log (3 π) - (2 \log (2))$

Step 4

Multiply $2$ by $- 1$ .

$\log (3 π) - 2 \log (2)$

Step 5

Rewrite $\log (3 π)$ as $\log (3) + \log (π)$ .

$\log (3) + \log (π) - 2 \log (2)$