Question

Solve, log.5^4+log4^.5

Answer 1

First, let's expand the logarithms.
$log _{5} 4+log_{4}5 = \frac{log4}{log5}+\frac{log5}{log4}$
This because $log_{y}x$ is equivalent to $\frac{logx}{logy}$
From there, you need to use a calculator to find the exact numerical value. 
$\frac{log4}{log5}+\frac{log5}{log4} = 2.02231716359$