Question

please answer fast.
I want step by step explanation​

Answer 1

Answer:

= log(1 + 1/2) + log(1 + 1/3) + log(1 + 1/4) + ... + log(1+1/31)

= log(3/2) + log(4/3) + log(5/4) + .... + log(32/31)

= log (3/2 * 4/3 * 5/4 * 6/5 * .... * 32/31)

= log (32/2)

= log 16 base 2

= log 2^ 4 base 2

= 4 log2 base 2

= 4