log4(1+√2+√3)+log4(1+√2-√3)的值等于

来源：学生作业帮编辑：搜搜考试网作业帮分类：数学作业时间：2024/08/18 14:10:14

log4(1+√2+√3)+log4(1+√2-√3)
=log4[(1+√2+√3)(1+√2-√3)]
=log4[(1+√2)^2-(√3)^2]
=log4[3+2√2-3]
=log4(2√2)
=log4(2^3/2)
=ln(2^3/2)/ln4
=3/2*ln2/(2ln2)
=3/4

log4(1+√2+√3)+log4(1+√2-√3)的值等于 log4(1+√5-√3)+log4(1+√5+√3)=? log4 2分之1 等于 log4^8+log4^2-(1/4)^0 等于多少? 计算:(log4 3+log8 3)×log9 √2=? 2^log4(2-√3) + 3^log9(2+√3)的值是多少啊?` 2^log4(2-√3) + 3^log9(2+√3)的值是多少啊? log4(3x-2) 2^log4^3=? 2^log4(3) log4(√5-√3)+log4(√5+√3)=? 比较log1/2(1/3)和log4(8)的大小.