首先利用
loga(xy)=loga(x)+log(y)
loga(x^2)=2loga(x)
所以
f(x1²)+f(x2²)+..+f(x2009²)
=2(loga(x1)+...+loga(x2009))
=2loga(x1x2x3...x2009)
=2*50
=100
首先利用
loga(xy)=loga(x)+log(y)
loga(x^2)=2loga(x)
所以
f(x1²)+f(x2²)+..+f(x2009²)
=2(loga(x1)+...+loga(x2009))
=2loga(x1x2x3...x2009)
=2*50
=100