Question

The sum of 20 terms of log2+log4+log8+..... is

Answer 1

log 2 + log 4 + log 8 + … + log 1024 (10th term would be 2^10)

= log 2 + log (2^2) + log (2^3) + … + log (2^10)

= log 2 + 2 log 2 + 3 log 2 + …. + 10 log 2

= 55 log 2

Hope it helped :)

Answer 2

Answer:

210log 2

Step-by-step explanation:

log2+log(2^2)+log(2^3)+ ... log(2^20)

1log^2+2log^2+3log^2+...20log^2

(1+2+3+...20)log2

210log2