Evaluate ( log of e)/( natural log of 10)

$\frac{\log (e)}{\ln (10)}$

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

$\frac{\log (e)}{\ln (2 (5))}$

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

$\frac{\log (e)}{\ln (2) + \ln (5)}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\log (e)}{\ln (2) + \ln (5)}$

Decimal Form:

$0.18861169 \dots$