Question

Simplify logarithms to rewrite the following expressions in terms of u and t. Let ln x=t and ln y = u.

[(ln x)^3 - ln (x^4)] / (lnx/e^2)ln(xe^2)


This problems is stumping me!!!! I don't know what to do, since some lnx are inside parentheses and others aren't.

Answer 1

i see no ln(y)

Answer 2

sorry, the only t. i didn't mean to add ln (Y)

Answer 3

ln(x)^3 - ln(x^4) = t^3 - 4ln(x) = t^3-4t this is the top bit
ln(x)/e^2 = t/e^2
and ln(x*e^2) = ln(x) + ln(e^2) = t+2 so putting it all together
(t^3-4t)/((t/e^2)*t+2))

Answer 4

are you sure its not ln(x/e^2) on the bottom?

Answer 5

no, for some reason, the ln is together with x/e^2 in parentheses!! Thanks so much!!

Answer 6

The equation is more like LN and then next to it is a tiny x/e^2. It isn't lnx over e^2, but it is bunched in parentheses!

Answer 7

im confused

Answer 8

this does not seem to be the way a book would write it because the bottom term it is hard to tell if the ln(x*e^2) is in the num or den if you enter this in a calculator it will be on the top but i figured you mean bottom. can you put it in exactly as the book does?