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Wow, this is my third post today... I am truly pathetic

My problem is:

If 10^a = 500 , then in terms of a, log(5) = ?

Please don't give me the answer. I've been having trouble with problems like these, so if whoever answers can show me how to get the answer, that would be awesome!

Thanks, and sorry for hogging the forum.
 Jan 21, 2014
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Nobody Special:

Wow, this is my third post today... I am truly pathetic

My problem is:

If 10^a = 500 , then in terms of a, log(5) = ?

Please don't give me the answer. I've been having trouble with problems like these, so if whoever answers can show me how to get the answer, that would be awesome!

Thanks, and sorry for hogging the forum.



Hi Special,
You are not hogging the forum. You are just using it well. Besides, there seems to be lots of people answering today which is really great. (and everyone needs questions to answer)
now for your question.
10 a = 500

10 a = 5 x 100

10 a = 5 x 10 2

10 a / 10 2 = 5

10 (a-2) = 5

log 10 (a-2) =log 5

log 5 = log 10 (a-2)

log 5 = (a-2) log 10

log 5 = (a-2) x 1 (assuming that the base is 10)

log 5 = a-2

If there is anything you don't understand, just ask. (as many times as you want)
 Jan 21, 2014

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