log(2)(a)=log(3)(b)=log(5)(c)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 00:06:00
log(2)(a)=log(3)(b)=log(5)(c)

log(2)(a)=log(3)(b)=log(5)(c)
log(2)(a)=log(3)(b)=log(5)(c)<0,求a^0.5,b^(1/3),c^(1/5)这三个数的大小关系

log(2)(a)=log(3)(b)=log(5)(c)
设:x=log(2)(a)=log(3)(b)=log(5)(c)<0,则:a=2^x,b=3^x,c=5^x,
于是:a^0.5=(2^15)^(x/30),b^(1/3)=(3^10)^(x/30),c^(1/5)=(5^6)^(x/30),
因为:5^6=25^3<32^3=2^15=8^5<9^5=3^10,x/30<0
所以:c^(1/5)>a^0.5>b^(1/3)

a^0.5 < b^(1/3) < c^(1/5)

已知log(14)7=a log(14)5=b 用ab表示log(35)70=log(3)4*log(4)8*log(8)m=log(4)2 求m 已知log(2)^3=a,log(3)^5=b,试用a,b表示log(15)^20 log(2)(a)=log(3)(b)=log(5)(c) 已知log(3)2=a log(5)2=b用ab表示log(30)90 计算题(log)已知log底数5 ^2=a,log底数5 ^3=b求log底数5根号54 的值 27-1/ 若a>0,b>0,a*b>1,log(1/2)[a]=ln2,则log(a)[b]与log(1/2)[a]的关系是:()?(A)log(a)b< log(1/2)[a](B)log(a)b= log(1/2)[a](C)log(a)b>log(1/2)[a](D)log(a)b与log(1/2)[a] 无法比较大小我做到一半就做不下去了:a=(1/2)^(ln2)log log(x+5)=log(x)+log(2) log(8)+log(x)=log(24) 2log(x)=log(2x)+log(3) 证明对数运算法则(1)log(a)(MN)=log(a)(M)+log(a)(N);   (2)log(a)(M/N)=log(a)(M)-log(a)(N);(1)log(a)(MN)=log(a)(M)+log(a)(N);   (2)log(a)(M/N)=log(a)(M)-log(a)(N);   (3)log(a)(M^n)=nlog(a)(M) (n∈R) (1)利用关系式log(a)N=ba^b=N证明换底公式 log(a)N=log(m)N/log(m)a (2)利用(1)中的换底公式求下式的值 log(2)25*log(3)4*log(5)9 (3)利用(1)中的换底公式证明 log(a)b*log(b)c*log(c)a=1 (1)利用关系式log(a)N=ba^b=N证明换底公式 log(a)N=log(m)N/log(m)a (2)利用(1)中的换底公式求下式的值 log(2)25*log(3)4*log(5)9 (3)利用(1)中的换底公式证明 log(a)b*log(b)c*log(c)a=1 已知log(2)[log(3)(log(4) x)] = log(3) [log(4) (log(2) y)]=0,求x+y的值 1、若lg2=a,lg3=b,则lg√15=?(用a、b表达)2、若log(15)(5)=m,则log(15)(3)=(用m表示)3、log(2)(3)*log(3)(4)*log(4)(5)*log(5)(6)*log(6)(7)*log(7)(8)=?4、设log(3)(2)=log(2)(3^x),x=?这个对数函数我学的很不好,所以希望过 已知log(2)3=a,log(3)7=b,试用a、b表示log(14)56. 数学对书问题log(2)3=a log(3)7=b 用a和b表示log(14)56 证明:log(A)M=log(b)M/log(b)A (b>0且b≠1). 若log底数2[log底数3(log底数4)]若log底数2[log底数3(log底数4(x))]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z= 若log(3)2=a,用a表示代数式log(2)12=? log(6)2=a,用a表示log(3)6