早教吧 育儿知识 作业答案 考试题库 百科 知识分享

函数f(x)=(1/2)^x(x≥4)f(x+1)(x<4)则f(log23)等于?

题目详情
函数f(x)=(1/2)^x (x≥4) f(x+1) (x<4)则f(log23)等于?
▼优质解答
答案和解析
log(2,3)∈(1,2)
f(log(2,3))=f[log(2,3)+3]=(1/2)^[log(2,3)+3]
=(1/2)^[log(2,3)]*(1/2)^3
=(1/3)*(1/8)
=1/24.