Inequality with logarithms-please put the complete solution!
Posted: Thu Mar 01, 2018 3:28 pm
Let be $a,b,c,d>1$ with $abcd=16$. Prove that:
$log_{ab} (a+b)+log_{bc} (b+c) + log_{cd}(c+d)+log_{da}(d+a) \geq 4.$
$log_{ab} (a+b)+log_{bc} (b+c) + log_{cd}(c+d)+log_{da}(d+a) \geq 4.$