求值log(2)sin(3П/8)-log(1/2)sin(П/8)=? 注;2和1/2是底数
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/16 19:11:17
求值log(2)sin(3П/8)-log(1/2)sin(П/8)=? 注;2和1/2是底数
利用对数的运算法则和对数的性质即可
log(a)(b)=-log(1/a) (b)
logaM+loga N=loga (MN)
log(2)sin(3П/8)-log(1/2)sin(П/8)
=log(2)sin(3П/8)+log(2)sin(П/8)
=log(2) (sin(3П/8)*sin(П/8))
=log(2) (cos(П/8)*sin(П/8))
=log(2) (1/2)sin(π/4)
=log2(1/2)+log(2) sin(π/4)
=-1+log2( √2/2)
=-1-1/2
=-3/2
log(2)sin(3П/8)-log(1/2)sin(П/8)
=log(2)sin(3π/8)+log(2)sin(π/8)
=log(2)[sin(3π/8)sin(π/8)]
=log(2)[sin(3π/8)cos(3π/8)]
=log(2)[(1/2)sin(3π/4)]
=log(2)[(1/2)*(√2/2)]
=log(2)(√2/4)
=log(2)[2^(-3/2)]
=-3/2
原式=log2sin3/8π+log2sinπ/8
=log2 sin3/8πsinπ/8
=log2 sin3/8πcos3/8π
=log2 1/2sin3/4π
=log2 1/2 * 根号2/2
=log2 根号2/4
=1/2-2
= - 3/2
求值log(2)sin(3П/8)-log(1/2)sin(П/8)=? 注;2和1/2是底数
求值 log(2)9×log(3)2
求值 log【9(下标)】3+log【 9(下标)】27 log【2】(1/2)- log【1/2】2
求值,(log(6)4+log(6)9)^2
求值2log₃2-1og₃32/9+log₃8-5ˆ(2log5 3)
求值;log(8)9乘log(3)32-lg5-lg2+lne的平方=
求值log₂(4的7次方×2的5次方)+log₂6-log₂3
求值:(log(4)3+log(8)3)×(log(3)2+log(9)2)+log(2)(2^5)¼
求值:2log3(这个3是角标)2-log3(角标)32/9+log3(角标)8-5log
(log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)求值
对数:log(4)8-log(1/9)3 求值
求值:2^(log(底数根号2)3)+2-10^(2+lg2)
求值:(log6 2)²+log6 3*log 6 2+log6 3,应该怎么算?
求值sin(pai/3+arctan(1/2)(分数表示)
求值:arcsin(sin^2/2)rt
1.求值25^log(5)^3+lg100+log(1/2)4.2.9^log(3)^5的值为( ).A.5 B.15 C.25 D.453.计算log(2)2+log(5)1-log(1/3)1/27+[3^log(3)5]^2+3^log(3)2.
log(x+5)=log(x)+log(2) log(8)+log(x)=log(24) 2log(x)=log(2x)+log(3)
求值:2log(角标3)2-log(角标3)32/9+log(角标3)8-5^log(角标5)3等于?