f(X)=f(x+1),x4,则f(log2^3)=?如题,这是一道分段函数,_数学解答

f(X)=f(x+1),x4,则f(log2^3)=?
如题,这是一道分段函数,

人气：447 ℃　时间：2020-04-13 18:13:46

解答

因log2^3＜4,且log2^16=4,故f(log2^3)=f(log2^3+1)=f(log2^6)=f(log2^6+1）=f(log2^12)=f(log2^12+1）=f(log2^24）,由于log2^24＞4,故f(log2^24)=2^(log2^24)=24