Precalculus Examples

$\ln (6.7917 \cdot 10^{- 12})$

Step 1

Rewrite $\ln (6.7917 \cdot 10^{- 12})$ as $\ln (6.7917) + \ln (10^{- 12})$ .

$\ln (6.7917) + \ln (10^{- 12})$

Step 2

Expand $\ln (10^{- 12})$ by moving $- 12$ outside the logarithm.

$\ln (6.7917) - 12 \ln (10)$

Step 3

Rewrite $\ln (10)$ as $\ln (2 (5))$ .

$\ln (6.7917) - 12 \ln (2 (5))$

Step 4

Rewrite $\ln (2 (5))$ as $\ln (2) + \ln (5)$ .

$\ln (6.7917) - 12 (\ln (2) + \ln (5))$

Step 5

Apply the distributive property.

$\ln (6.7917) - 12 \ln (2) - 12 \ln (5)$