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CBSE Class 11-science Answered

<div>2(loga+loga^2+loga^3+......+loga^n) is equal to</div>
Asked by Anil | 03 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 | 04 May, 2017, 09:30: AM
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