Simplify/Condense log base 5 of 20* log base 20 of 60* log base 60 of 100* log base 100 of 125* log base 4 of 40* log base 40 of 16

$\log_{5} (20) \cdot \log_{20} (60) \cdot \log_{60} (100) \cdot \log_{100} (125) \cdot \log_{4} (40) \cdot \log_{40} (16)$

Step 1

Multiply $\log_{5} (20) \log_{20} (60) \log_{60} (100) \log_{100} (125) \log_{4} (40)$ by $\log_{40} (16)$ .

$\log_{5} (20) \log_{20} (60) \log_{60} (100) \log_{100} (125) \log_{4} (40) \log_{40} (16)$

Step 2

The result can be shown in multiple forms.

Exact Form:

$\log_{5} (20) \log_{20} (60) \log_{60} (100) \log_{100} (125) \log_{4} (40) \log_{40} (16)$

Decimal Form:

$6$