log_t(e) = ln(e)/ln(t) = 1/ln(t)
a = 1
f(e^2) = 1/ln(e^2) = 1/2
f(t) = 2
1/ln(t) = 2
ln(t) = 1/2
t = √e
Consider the function f(t)=logt(e), for t>0, t≠1.
(a) Use the change of base formula to find a constant a such that
f(t)=a/ln(t)
a=
(b) Evaluate f(e^2)=
.
(c) For what value(s) of t is f(t)=2?
.
1 answer