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- Jan 16th 2008, 07:50 PM #1sofreshsoc1eanGuest
## log

i have a final exam tomorrow for calculus, and I saw some of the questions

I need help figuring out the answers!

here aree some

1.)condense into a single log:

log5+3log x-2+log y+ (2/3)log z

2.) expand :

ln 4 [cube root of] x / y^3

3.) find the horizontal asymptope of:

f(x)=(4x^2 -7x +6/6x^2 -9)

4.) which quadratic equation has a vertex at (3, -4) and passes through the point (-2, 1)?

i will do ANYTHING for these answers

- Jan 16th 2008, 09:06 PM #2

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- Jan 16th 2008, 10:00 PM #3

- Jan 16th 2008, 10:19 PM #4
we have rational function made up of two polynomials, the highest powers of the numerator and denominator being the same. there are several ways to show that the infinite limits (which is what you need to take to find the horizontal asymptote) is the ratio of the leading coefficients.