Question

dado f(x)=log1/3 x e g(x)= log3 x.determinef(g(x)),para x=81

Answer 1

Boa noite

f(x) = log_1/3_(x)
g(x) = log3(x)

f(g(x)) = log_1/3_(log3(x))

f(g(x)) = log3(x)/log(1/3)
f(g(x)) = -log3(x)/log(3)
f(g(x)) = -log(x)/log²(3) 

f(g(81)) = -log(81)/log²(3) 
f(g(81)) = -4log(3)/log²(3) = -4/log(3) 

f(g(81)) = -4/0.47712 = -8.3836351442