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# Wrong

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how is 2.1^1095 infinity???

Guest Mar 27, 2017
#1
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It isn't. It is just too big to be calculated by this, and most other, calculators.

$$y=2.1^{1095}\\ logy=log2.1^{1095}\\ logy=1095log2.1\\$$

1095*log(2.1)=  352.8301277336416335

$$logy\approx 352.8301277336416335\\ logy\approx 352+0.8301277336416335\\ y\approx 10^{352+0.8301277336416335}\\ y\approx 10^{0.8301277336416335}*10^{352}\\$$

10^(0.8301277336416335) = 6.7628185252517102253

$$y\approx 6.7628185252517102253 \times 10^{352}\\ 2.1*10^{1095} \approx 6.7628185252517102253 \times 10^{352}\\$$

Melody  Mar 27, 2017