Precalculus Examples

$\ln (10) e^{4}$

Step 1

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

$\ln (2 (5)) e^{4}$

Step 2

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

$(\ln (2) + \ln (5)) e^{4}$

Step 3

Apply the distributive property.

$\ln (2) e^{4} + \ln (5) e^{4}$

Step 4

Reorder factors in $\ln (2) e^{4} + \ln (5) e^{4}$ .

$e^{4} \ln (2) + e^{4} \ln (5)$