Originally Posted by

**TodaYou** Not actually homework, rather sample problems that will be on my test tomorrow. Professor didn't give us the answers to the practice problems (State school...) so I don't know if they're right or not. I haven't taken a real math class since high school so a lot of this is foreign to me. Anyway....

1. Given Ln A = 10, solve ln(Ae^3)

$\displaystyle

lnA+lne^3 = 10 + 3lne = 10 + 3 = 13

$

2. (ln64-ln8)/ln2

$\displaystyle

(ln64-ln8^2)/ln2^5 = (ln64-2ln8)/5ln2 = (64-2(8))/(5*2) = 48/10

$

3. Given e^A = 6, solve e^(A+ln8)

$\displaystyle

(e^A)(e^ln8) = 6(e^ln8) = ???? I don't know what to do...

$

And there are two that I don't even know how to start

7. If b^x = e^(kx), solve for k in terms of b.

8. Find k such that 2^(-x/5) = e^(kx) for all x.

Also, how would I factor something like x^2+3x-4???

I don't have any problem with limits because I go to class and that's what he has been teaching, however this test has a lot of algebra on it and I haven't even done an algebraic equation in 4 years. I'm know it's easy math and it's frustrating because I could do this in high school, but now I'm in the dark. Help is greatly appreciated please/thank you