求值:-log2log2√√√2 ,log4 (8)-log1/9 (3)-log√2 (4) ; (log4(3))*

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/23 13:16:07

求值:-log2log2√√√2 ,log4 (8)-log1/9 (3)-log√2 (4) ; (log4(3))*（log9(25))*(log5(8))

-log2log2√√√2
=-log2 log2 2的1/8次幂
=-log2 (1/8)
=log2 8
=3
log4 (8)-log1/9 (3)-log√2 (4)
=log4 4的(3/2)次幂 - 1÷[log3 (1/9)] - log√2 √2的4次幂
=3/2 - 1÷[log3 (3的-2次幂)] - 4
=3/2 + 1/2 -4
=2
(log4(3))*（log9(25))*(log5(8))
=(lg3/lg4)*(lg25/lg9)*(lg8/lg5)
=lg3/(2lg2)*(lg5/lg3)*(3lg2/lg5)
=3/2

数学题计算log4 8-log1/9 3+log根号2 1/4 log4 8-log1/9 3=log 根号2 1/4怎么算计算：（log4 9+log8 3)(log3 2+log9 2)-log1/3 4√81 (log4(3)+log8(3))*(log3(2)+log8(2))-log1/2(^4√32)=? 各位大神log4(3)log9(2)-log1/2(4√32)怎做啊? log√3^9+log9^27+(1/4)log4^1/16 (log2(5)+log4(125))(log3(2)/log√3(5))怎么解? 比较log1/2(1/3)和log4(8)的大小. log4(1+√2+√3)+log4(1+√2-√3)的值等于 log4(x+3)+log1/4(x-3)=log1/4(x-1)+log4(2x+1),说明： log4(3)-log4(12)-log8(4) =log4(3/12)- log8( 8^(2/3) ) log8( log的一道数学题log3 1/64×log4 √5×log1/25 27 √5是根号下5 ×是乘号=log3 2^(-