Question

Applying the concepts. Find the value of.

Answer 1

As we are given with $\\\{Log_{2}}^{3}.{Log_{3}}^{4}........{Log_{n+1}}^{n}.{Log_{n+1}}^{2}$

Now using the change of base property ,we can re-write

$\\ =\frac{Log3}{Log2}.\frac{Log4}{Log3}.....\frac{Log(n+1)}{Logn}.\frac{Log2}{Log(n+1)}$

Each log has base of 10

$\\ =\frac{1}{Log2}.Log2=1$