Simplify/Condense log base 2 of 3* log base 3 of 4* log base 4 of 5* log base 5 of 6* log base 6 of 7* log base 7 of 8

$\log_{2} (3) \cdot \log_{3} (4) \cdot \log_{4} (5) \cdot \log_{5} (6) \cdot \log_{6} (7) \cdot \log_{7} (8)$

Step 1

Multiply $\log_{2} (3) \log_{3} (4) \log_{4} (5) \log_{5} (6) \log_{6} (7)$ by $\log_{7} (8)$ .