Question

If f(x) = logx^2(base2) and g(x) = log4(base x).
Find the relation between f and g

Answer 1

\[g(x) = \log_x 4 = \frac{\ln 4}{\ln x}= 2\frac{\ln 2}{\ln x}\]
\[f(x) = \log_2 x^2 = \frac{\ln x^2}{\ln 2} = 2\frac{\ln x}{\ln2}\]

See a connection?