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Guest Dec 10, 2017

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Log_7 sqrt(2) * sqrt(1 + 1/2 + 1/4........)

Log_7 sqrt(2) * sqrt(2)........because 1+1/2+1/4 + 1/8..........etc. This series sums up to 2.

Log_7 (2) =Log(2) / Log(7) =0.356207......

 

1/log_4 sqrt(3) * sqrt[1+∑[(2^n)/(3^n)], n, 1,∞] This series sums up to 3.

1/log_4 sqrt(3) * sqrt(3)

1/log_4 (3) =Log(4)/Log(3) =1.261859507........

Guest Dec 10, 2017
edited by Guest  Dec 10, 2017
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 #1
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+2
Best Answer

Log_7 sqrt(2) * sqrt(1 + 1/2 + 1/4........)

Log_7 sqrt(2) * sqrt(2)........because 1+1/2+1/4 + 1/8..........etc. This series sums up to 2.

Log_7 (2) =Log(2) / Log(7) =0.356207......

 

1/log_4 sqrt(3) * sqrt[1+∑[(2^n)/(3^n)], n, 1,∞] This series sums up to 3.

1/log_4 sqrt(3) * sqrt(3)

1/log_4 (3) =Log(4)/Log(3) =1.261859507........

Guest Dec 10, 2017
edited by Guest  Dec 10, 2017

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