Given f(t) = 20t - (1.032)^t

Question

write f(t) using base 20

Answer 1

f(t) = 20t - (1.032)^t rewrite as f(t) = a function of base 20

break it down term by term

first term

20t = 20xt = 20^1 x t = 20^1 x tlog(20)= 20tlog20

last term

(1.032)^t = 20log(20)t/log(20)1.032

f(t) = 20tlog(20) + 20log(20)/log(20)1.032

= f(t) using base 20 as the base of the logs