计算 log2(1+√2+√3)+log2(1+√2+√3)
问题描述:
计算 log2(1+√2+√3)+log2(1+√2+√3)
答
log2(1+√2+√3)+log2(1+√2+√3)
=log2(1+√2+√3)²=2^(1+√2+√3)²
答
log2(1+根号2+根号3)+log2(1+根号2-根号3)
=log2[(1+√2+√3)(1+√2-√3)]
=log2[(1+√2)²-(√3)²]
=log2[2√2]
=log2[2^(3/2)]
=3/2
祝愉快!