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2^2160 I know is a very high number but it is Not infinity. Can someone smarter than a calculator answer?

Guest Oct 18, 2015

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\(y=2^{2160}\\ log\;y=log\;2^{2160}\\ log\;y=2160*log\;2\\ log\;y\approx 650.2247906\\ y\approx 10^{650.2247906}\\ y\approx 10^{650}*10^{0.2247906}\\ y\approx 1.677994759 \times10^{650}\\ 2^{2160} \approx 1.677994759 \times10^{650}\\ \)

Melody  Oct 18, 2015
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 #1
avatar+92462 
+11
Best Answer

 

\(y=2^{2160}\\ log\;y=log\;2^{2160}\\ log\;y=2160*log\;2\\ log\;y\approx 650.2247906\\ y\approx 10^{650.2247906}\\ y\approx 10^{650}*10^{0.2247906}\\ y\approx 1.677994759 \times10^{650}\\ 2^{2160} \approx 1.677994759 \times10^{650}\\ \)

Melody  Oct 18, 2015

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