(log3 45/log5 3) -( log 3 15/log 15 3)

Question

(log3 45/log5 3) -( log 3 15/log 15 3)

Answer 1

(log3 9+log3 5)/(1/log3 5)-log3 15/(1/log3 15)=log3 5(2+log3 5)-log²315=
=2log3 5+log²3 5-(log3 3+log3 5)²=2log3 5+log²3 5-(1+log3 5)²=
=2log3 5+log²3 5-1-2log3 5-log²3 5=-1