Write Expression in terms of t and u

[nycmathguy]

 

[MathLover1]

are you sure that this expression is correct?
(ln(x))^3-ln(x^4))/(ln(x/e^2)*ln(x*e^2))...........I do not see ln(y)

 

[nycmathguy]

are you sure that this expression is correct?
(ln(x))^3-ln(x^4))/(ln(x/e^2)*ln(x*e^2))...........I do not see ln(y)

Here it is. Look at 40(d).

 

[MathLover1]

given: ln(x)=t -> x=e^t

substitute (ln(x))^3=t^3

=

=

.................ln(e)=1

=

=

=

=t

 

[nycmathguy]

given: ln(x)=t -> x=e^t

substitute (ln(x))^3=t^3

=

=

.................ln(e)=1

=

=

=

=t

Amazing. This is a Cohen question. I'm impressed.