SOLUTION: solve for x x = log366

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Question 470587: solve for x x = log366
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Your problem is to solve:
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x+=+log366
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without any further instructions, the normal practice is to assume that the term "log" refers to the base 10. And log366 is just a number that you would normally look up by entering 366 on a scientific calculator and then pressing the "log" key.
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When I did this I got the answer 2.563481085
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Since we are in the base 10, this answer is the exponent that you raise 10 to in order to get 366. So we say:
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10%5E2.563481085+=+366
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Note that there is no normal way to come up with x+=+2.563481085 short of looking it up in a table of logarithms (not usually as accurate as a calculator), using a scientific calculator as above, or from the old days, using a slide rule (in no way as accurate as a calculator).
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Hope this helps you to understand logarithms a little better.