以2为底的对数简称-搜答案-搜搜做题作业网

log2(25)*log3(1/16)*log5(1/9)=[2log2(5)]*[-4log3(2)]*[-2log5(3)=[2*lg5/lg2]*[-4*lg2/lg3]*[-2*lg3/lg5

化成常用对数.原式＝(lg3/lg2)·(lg125/lg27)=(lg3/lg2)·(3lg5/3lg3)=lg5/lg2=log₂5

lg5*lg5+lg2*lg50=lg5*lg5+lg2*lg(2×25)=lg5*lg5+lg2*lg2+lg2*lg25=lg5*lg5+lg2*lg2+lg2*lg(5²)=lg5*l

以2为底3的对数加上以27为底125的对数log2(3)+log27(125)=log2(3)+log3(5);很高兴为您解答,skyhunter002为您答疑解惑如果本题有什么不明白可以追问,再问：

[log2(9)]*[log3(2)]=[log2(3²)]*[1/log2(3)]=2[log2(3)*[1/log2(3)]=2

4

将底数换为3.log6,2=log3,2/log3,6log6,18=log3,18/log3,6log6,2*log6,18=(log3,2/log3,6)*(log3,18/log3,6)

log以4为底8的对数-log以9分之1为底3的对数-log以根号2为底4的对数＝lg8/lg4-lg3/lg(1/9)-lg4/lg(√2)＝3lg2/2lg2-lg3/(-2)lg3-2lg2/(

利用lg(ab)=lga+lgb的公式lg2*lg2+lg20*lg5=lg2*lg2+(lg2+lg10)*lg5=lg2*lg2+lg2*lg5+1*lg5=lg2(lg2+lg5)+lg5=lg

log以3为底2的对数log以2为底3的对数>log以2为底2的对数=1>log以3为底2的对数

以2为底根号下7/48的对数+以2为底12的对数减1/2的以2为底42的对数=(lg√7/48)/lg2+lg12/lg2-1/2(lg42/lg2)=(lg√7/48+lg12-1/2lg42)/l

log2(25)*log3(4)*log5(9)=lg25/lg2*lg4/lg3*lg9/lg5(换底公式)=lg5^2/lg2*lg2^2/lg3*lg3^2/lg5=2lg5/lg2*2lg2/

8再问：是不是换成分数形式可以互相约掉再答：log2(25)*log3(4)*log5(9)=lg25*lg4*lg9/lg2*lg3*lg4=log2(4)*log3(9)*log5(25)=2*2

log2(25)*log3(4)*log5(9)=lg25/lg2*lg4/lg3*lg9/lg5(换底公式)=lg5^2/lg2*lg2^2/lg3*lg3^2/lg5=2lg5/lg2*2lg2/

log8^9*log3^2=2log8^3*log3^2=2/3log2^3*log2^3=2/3*lg3/lg2*lg2/lg3=2/3

具体过程都在这儿了,自己看吧!

lg2+lg3=lg6,但lg6≈0.778,不等于1/6.

看图,慢慢看,那步不理解追问

log33log2因为2等于3有公式的

(以2为底3的对数+以4为底9的对数+以8为底27的对数+以16为底81的对数+以32为底243的对数）-5倍的以2为底二分之三的对数=lg3/gl2+2lg3/(2lg2)+3lg3/(3lg2)+