鸿蒙no+log和log区别

暴卓卫5126log比较大小 -
程胥胀18584071985 ______ log15/log11小 log11/log8=log11-log8 log15/log11=log15-log11 log15/log11-log11/log8 =log15+log8-2*log11 =log15*8-log11*11 =log120-log121

暴卓卫5126log以3为底2的对数+log以9为底2的对数的和,乘以,log以4为底3的对数+log 以8为底3的对数的和,的积前面两个数的和乘以后面两个数的和, -
程胥胀18584071985 ______[答案] 楼上写错了 [log(3,2)+log(9,2)]*[log(4,3)+log(8.3)] =[log(3,2)+1/2log(3,2)]*[1/2log(2,3)+1/3log(2,3)] =3/2log(3,2)*5/6log(2,3) =3/2*5/6*1 =15/12 =5/4

暴卓卫5126(log2 5+log4 125)log3 2/ log根号3 5 -
程胥胀18584071985 ______ (log2 5+log4 125)log3 2/ log根号3 5=(log2 5+log4 125)log3 2/ log3 25=(log2 5+log4 125)log25 2=(log2 5+log2 5根号5)log25 2=log2 25根号5 *log25 2=lg2/lg25根号5 *lg25 /lg2 (换底公式)=log25 25根号5=log 5² 5的5/2次方=5/4

暴卓卫5126[log2 (125) +log4(25)+log8(5)][log125(8)+log25(4)+log5(2) -
程胥胀18584071985 ______ =[3*log2(5)+log2(5)+1/3*log(5)]*[log5(2)+log5(2)+log5(2)]=[7/3*log2(5)]*[3log5(2)]=7*log2(5)*log5(2)=7

暴卓卫5126(log3312)2+log0.2514+9log55 - log31=______. -
程胥胀18584071985 ______[答案] (log33 1 2)2+log0.25 1 4+9log5 5-log 31 = 1 4+1+ 9 2−0 =5.75. 故答案为:5.75.

暴卓卫5126求对数函数公式的推导 -
程胥胀18584071985 ______ log(a)(M^n)=log(a)(M*M*M*..M) (n个M)=log(a)(M)+log(a)(M)+log(a)(M)+...+log(a)(M)(n个log(a)(M))=nlog(a)(M) log(a)(N)=log(a)[b^log(b)(N)]=log(b)(N) log(a)(b)=log(b)(N) log(a)(a^log(b)(a))=log(b)(N) / log(b)(a)

暴卓卫5126比较1+log以x为底3的对数 与2log以x为底2的对数(x>0且x≠1)的大小 -
程胥胀18584071985 ______[答案] 1+log3-2log2 =1+lg3/lgx-2lg2/lgx =(lgx+lg3-lg4)/lgx =[lg(3x/4)]/lgx,① x>4/3时,lg(3x/4)>lg1=0,lgx>0,①>0, 00:都有 1+log3>2log2; x=4/3时1+log3=2log2; 132.

暴卓卫5126log3+log16 - log4 - log12我书上的题目,就是这样出的啊.没有写底数. -
程胥胀18584071985 ______[答案] log3+log16-log4-log12=log[(3*16)/(4*12)]=log1=0 不需要底数,1对于任何底的对数都是0