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Registered User Posts: 797 Member
edited July 2011
Alright... so I sat down to work on my AP Calculus summer work, and realized that I've completely forgotten much of what'll be on the test next year! Can anyone point me in the right direction/briefly explain the concepts behind some of these problems? (answers aren't necessarily required, just a helpful hand!)

Question 1:
What is g(g(x))?
How can you have a radical beneath another radical? What are you supposed to do? I've never seen this before...

Question 2:
Factor: 5x^2(x+3)^-4 - 10x(x+3)^-7
Where do you begin here? Is it some version of factor by grouping?

Question 3:
Simplify: log(base 1/2) 8
Can someone briefly explain how to work log problems? We did them in Algebra II two years ago...

Question 4:
Simplify: e^(l+lnx)
This one just... leaves me flummoxed.

Thanks to any takers!
Post edited by scrivener on

## Replies to: AP Calculus woes (already)

• Registered User Posts: 4,276 Senior Member

Question 4: e^(a+b)=(e^a)(e^b)
• Registered User Posts: 385 Member
Question 3: use change of base formula log(8)/log(1/2) in calc will give you -3
or without a calc, think of it as "what is the exponent that turns base 1/2 into 8?" -3 is your answer
• Registered User Posts: 1,804 Senior Member
Question 4
e^(l+lnx)
(e)(e^lnx)
(e)(x)
ex
• Registered User Posts: 797 Member
Thank you all!
• Registered User Posts: 797 Member
and one more question:

If I have
1 over