若函数f(x)=log2^x 则f(1+√3/2)+f(1-√3/2)
问题描述:
若函数f(x)=log2^x 则f(1+√3/2)+f(1-√3/2)
答
若函数f(x)=log2^x 则
f(1+√3/2)+f(1-√3/2)
=log2^(1+√3/2)+log2^(1-√3/2)
=log2^(1+√3/2)(1-√3/2)
=log2^(1-3/4)
=log2^1/4
=log2^(2的-2次方)
=-2