(log15 3)^2+log15 45/log5 15=(log15 3)^2+(log15 45)*(log15 5)
=(log15 3)^2+(1+log15 3)(1-log15 3)=(log15 3)^2+1-(log15 3)^2=1
(log15 3)^2+log15 45/log5 15=(log15 3)^2+(log15 45)*(log15 5)
=(log15 3)^2+(1+log15 3)(1-log15 3)=(log15 3)^2+1-(log15 3)^2=1