January 20, 2017

Homework Help: College Algebra

Posted by Mary on Thursday, October 21, 2010 at 10:54am.

I REALLY don't understand the reason/basis/use of logarithms. I have listened to my teacher, who never is clear on much of anything (it would help if he spoke better English), and a more advanced student, who couldn't explain them to me.
The problem I am working on is: log8(1000x), where 8 is the base. We are supposed to pull apart the multiplication of the 1000x and then solve the parts we are able to solve without a calculator.

So far, I have: log8(1000) + log8(x). the answer is supposed to be 3+logx
how does log8(1000) =3, and how does log8(x) change to just logx?

Shouldn't log8(1000) be the same as 8^y=1000? If so, then 8^3 does not equal 1000. So why does the book say it is 3?

Also, what is the purpose of e and ln in trig?

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