已知a=log2 (18)-16^0.75,若a∈(-k^2,-k^2+1),则正整数k的值为
问题描述:
已知a=log2 (18)-16^0.75,若a∈(-k^2,-k^2+1),则正整数k的值为
已知a=log2 (18)-16^0.75,若a∈(-k²,-k²+1),则正整数k的值为
答
a=log2 (18)-16^0.75=log2 (2*3²)-16^¾=log2 (2)+2log2 (3)-(16^¼)³=1+2log2 (3)-2³=2log2(3)-7∵log2(3)>log2(2√2)=3/2,log2(3)<log2(4)=2∴a=2log2(3)-7>2*3/...