Asked by Winifred Preston Bob-manuel
1)prove that logx+log(xy)+log(xy^2)+...is an arithmetical progression and show,without using tables that when x=160
2)sum the series 2+6+18+54... To thirty term,by using logarithm,verify that this sumis breather than 2x10^14
2)sum the series 2+6+18+54... To thirty term,by using logarithm,verify that this sumis breather than 2x10^14
Answers
Answered by
Steve
well,
log(xy) = logx + logy
so, you have an AP with
a = logx
d = logy
S30 = 2(3^30-1)/(3-1) ≈ 3^30 (10^.477)^30 ≈ 10^14.313
log2 = .3010, so
10^.313 * 10^14 > 2*10^14
log(xy) = logx + logy
so, you have an AP with
a = logx
d = logy
S30 = 2(3^30-1)/(3-1) ≈ 3^30 (10^.477)^30 ≈ 10^14.313
log2 = .3010, so
10^.313 * 10^14 > 2*10^14
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.