SOLUTION: Use this formula logb a= loga/ logb, find log2 1000. I don't understand how you do this equation. I tried many different things and nothing works. Thanks, Christine

Question 38387: Use this formula logb a= loga/ logb, find log2 1000. I don't understand how you do this equation. I tried many different things and nothing works. Thanks, Christine
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
This is what is called "the change of base" formula...logb a= loga/ logb...the logs on the right side are to the base 10 (but could really be any base we choose)
In this case,
log2 1000, our b = 2 and our a = 1000, so that
log2 1000 = log 1000 / log 2
log2 1000 = 3 / .30103 = 9.97 or almost 10
and that makes sense since
2^10 = 1024 and just about 1000
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