作业帮log4(1+√5-√3)+log4(1+√5+√3)=?
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/30 23:33:18
log4(1+√5-√3)+log4(1+√5+√3)=?
log4(1+√5-√3)+log4(1+√5+√3)
=log4[(1+√5-√3)(1+√5+√3)]
=log4[(1+√5)²-3)]
=log4(1+2√5+5-3)
=log4(2√5+3)
若√5是√2
log4(1+√2+√3)+log4(1+√2-√3)
=log4[(1+√2+√3)(1+√2-√3)]
=log4[(1+√2)²-3]
=log4[1+2√2+2-3]
=log4(2√2)
=log4[2^(3/2)]
=log4[4(3/4)]
=(3/4)log4(4)
=3/4
=log4[(1+√5-√3)(1+√5+√3)]
=log4[(1+√5)²-3)]
=log4(1+2√5+5-3)
=log4(2√5+3)
若√5是√2
log4(1+√2+√3)+log4(1+√2-√3)
=log4[(1+√2+√3)(1+√2-√3)]
=log4[(1+√2)²-3]
=log4[1+2√2+2-3]
=log4(2√2)
=log4[2^(3/2)]
=log4[4(3/4)]
=(3/4)log4(4)
=3/4
log4(1+√5-√3)+log4(1+√5+√3)=?
log4(√5-√3)+log4(√5+√3)=?
求证：log4 3*log4 5
log4(1+√2+√3)+log4(1+√2-√3)的值等于
解方程log4 x+1/log4 x=10/3
log4(3x-1)-log4(3+x)=log4(x-1)
解方程 log4 (3x-1)=log4 (x-1)+log4 (3+x)
计算:(log4 3+log8 3)×log9 √2=?
解方程：log2(3-x) - log4(x+5) =1
(log2(5)+log4(125))(log3(2)/log√3(5))怎么解?
log√3^9+log9^27+(1/4)log4^1/16
2^log4^3=?