10−9[2×106+31000]I'm stuck on solving this. I wasn't able to put this into my calculator since the number is too big for it to calculate.So far I've done this:2×10−3+31000×10−9log the equationlog⁡[2×10−3+31000×10−9]log⁡(2×10−3)+log⁡(31000×10−9)(log⁡2+log⁡10−3)+(log⁡31000+log⁡10−9)(log⁡2−3)+(1000×log⁡3−9)How do I get rid of the log afterwards?

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10−9[2×106+31000]I&#039;m stuck on solving this. I wasn&#039;t able to put this into my calculator since the number is too big for it to calculate.So far I&#039;ve done this:2×10−3+31000×10−9log the equationlog⁡[2×10−3+31000×10−9]log⁡(2×10−3)+log⁡(31000×10−9)(log⁡2+log⁡10−3)+(log⁡31000+log⁡10−9)(log⁡2−3)+(1000×log⁡3−9)How do I get rid of the log afterwards?

Ishaan Stout · Accepted Answer

distribute the sum as 10−9[2×106]+10−9×31000 , and write 31000 as 101000log103

Cailyn Hanson · Accepted Answer

You have to decide what form you want the answer in. You can type it into Alpha and get a number with 469 digits, but that is not very useful. One of the big points of the exercise was to see that the 2×106 is completely negligible compared to 31000 , so ignore it. In fact, it is smaller by a factor of more than 10470. Then you can write it as 101000log103−9≈10468 and I would leave it like that.

\(\displaystyle{10}^{{-{9}}}{\left[{2}\times{10}^{{6}}+{3}^{{{1000}}}\right]}\) I'm stuck on solving this. I wasn't

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