2(loga+loga^2+loga^3+......+loga^n) is equal to

Asked by Anil | 3rd May, 2017, 06:43: PM

Expert Answer:

begin mathsize 16px style 2 left parenthesis loga plus loga squared plus loga cubed plus...... plus loga to the power of straight n right parenthesis space
equals 2 left parenthesis loga plus 2 loga plus 3 loga plus...... plus nloga right parenthesis space
equals 2 cross times loga open parentheses 1 plus 2 plus 3 plus 4..... plus straight n close parentheses
equals 2 loga cross times fraction numerator straight n open parentheses straight n plus 1 close parentheses over denominator 2 end fraction
equals straight n open parentheses straight n plus 1 close parentheses loga end style

Answered by Sneha shidid | 4th May, 2017, 09:30: AM