log2^10*log5^10
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log26-log23=log2(6÷3)=log22=1,lg5+lg2=lg(5×2)=lg10=1,log53+log51/3=log5(3×1/3)=log51=0,log35-log315=
要求log5跟log3是没有关系的log5的求法是1-log2也就是log10-log2=log10/2=log5log2大约为0.3010所以log5=1-0.3010=0.6990
2log5^10+log5^0.25=2lg10/lg5+lg0.25/lg5=lg100/lg5+lg0.25/lg5=(lg100+lg0.25)/lg5=lg25/lg5=2lg5/lg5=2希
原式=lg25/lg4-2lg10/lg4+lg9/lg2×lg√5/lg3×lg2/lg5=(2lg5)/(2lg2)-2/(2lg2)+(2lg3)/lg2×(½lg5)/lg3×lg2
【解析】运用换底公式原式=[(lg10/lg2)+(lg10/lg5)]÷[(lg10/lg2)×(lg10/lg5)]=[(1/lg2)+(1/lg5)]÷[(1/lg2)×(1/lg5)]=[(l
log4\8=log4(2*4)=log4\2+1log5\10=log5(2*5)=log5\2+1log4\2>log5\2所以log4\8>log5\10
1、log1/10=-log10=-log(2*5)=-(log2+log5)=-m-n第二题条件不全啊其实就是对数计算的几个公式log【8】m=1/3log【2】m再问:非常感谢!为什么log1/1
2log5{10}+log5{0.25}=log5{10^2}+log5{0.25}=log5(100*0.25)=log5(5^2)=2
解题思路:考查换底公式的应用解题过程:最终答案:略
原式=2log5(10乘以0.5)+0+3=2log55+0+3=2+3=5
log2(5)*log5(8)=log2(5)*log5(2^3)=log2(5)*3*log5(2)=3
a>b>c再问:有没有过程啊谢谢了再答:看见了吗
原式=2*2-3*6=-14
用换底公式logaN=logbN/logba所以1/log210=1/[(log1010)/(log102)]=log102/log1010=lg2/lg10=lg2同理1/log510=lg5所以(
(log3^4+log5^2)(log2^9+log2^根号3)=(lg4/lg3+lg2/lg5)(lg9/lg2+lg根号3/lg2)=(2lg2*lg5+lg2*lg3)/lg3*lg5*(lg
lg2/(log5010)+lg5/(log510)=lg2/(lg10/lg50)+lg5/(lg10/lg5)=lg2*lg50+lg5*lg5=lg2*lg(25*2)+lg5*lg5=lg2(
log2(5)*log5(4)=log2(5)*2log5(2)=2
没底?
1、log5125=3,原式=02、log981=2,原式=53、4、题目看不懂...