Question

已知函数f(x)=m*log3(x)+n*log5(x)+2,且f(1/2014)=10,求f(2014)=?

Answer 1

f(1/2014)=m*log3(1/2014)+n*log5(1/2014)+2=10,

即-（m*log3(2014)+n*log5(2014)）+2=10

所以m*log3(2014)+n*log5(2014) = -8

f(2014)=m*log3(2014)+n*log5(2014)+2=-8+2=-6