Question

已知函数f(log2^x)=log2^(x+1). 1.求f(x). 2.用定义证明f(x)在其定义域上为增函数. 3.

Answer 1

(1) f(log2^x)=log2^(x+1)

令t=log2^x,则x=2^t

f(t)=log2^(2^t+1)

f(x)=log2^(2^x+1)

(2)任取x1、x2属于R,且x10

x>1

太难录入了,