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log2 9为什么等于lg9/lg2

换底公式 loga(b)=lgb/lga

du对于对数,底数a应满足a>0,a≠1 loga 2<1 = loga a 当0<a<1时,对数函数是减函数,即a<2, 此时a的取值范围为:0<a<1 当a>1时,对数函数是增函数,即a>2, 此时a的取值范围为:a>2 综上a的取值范围为:0<a<1 或 a>2 1/2lg25+lg2-lg√...

1、log2 3*log3 4*log4 5*log5 2 =lg2/lg3xlg3/lg4xlg4/lg5xlg5/lg2 (换底公式) =1 (约分) 2.(log4 3+log8 3)*(log3 2+log9 2) 中间应为乘号 =(lg3/lg4+lg3/lg8)*(lg2/lg3+lg2/lg9) =(lg3/2lg2+lg3/3lg2)*(lg2/lg3+lg2/2lg3) =[(1/2+1/3)(lg...

lg36-lg4=lg9=2lg3 lg36 x lg9=2lg6 x2 lg3=4lg6lg3 2lg5÷3lg2=(2/3)log(2)5 lg√3=(1/2)lg3 log(2) 56 - log(2) 7=log(2)8=3

1/2lg25+lg2-lg根号0.1-log2(9)*log3(2) =1/2*lg(5^2)+lg2-lg[10^(-1/2)]-log2(9)*log3(2) 根据对数公式,积的对数等于对数的和,商的对数等于对数的差,还有换底公式 =1/2*2*lg5+lg2-(-1/2)*lg10-[log3(9)/log3(2)]*log3(2) =lg5+lg2+1/2-log3(9) ...

(log3 2+log9 2)*(log4 3+log8 3) =(lg2/lg3+lg2/lg9)*(lg3/lg4+lg3/lg8) =(lg2/lg3+lg2/2lg3)*(lg3/2lg2+lg3/3lg2 =3/2*lg2/lg3*5/6*lg3/lg2 =3/2*5/6=5/4

(log4³+log8³)(log3²+log9²) =(lg3/lg4+lg3/lg8)×(lg2/lg3+lg2/lg9) =[lg3/(2lg2) + lg3/(3lg2)]×[lg2/lg3 + lg2/(2lg3)] =[(lg3/lg2)(1/2+1/3)]×[(lg2/lg3)(1+1/2)] =(1/2+1/3)(1+1/2) =5/6×3/2 =5/4 希望我的回答对你有帮...

log(以18为底)9=a 由换底公式lg9/lg18=a 2lg3/(2lg3+lg2)=a 2lg3=2alg3+alg2 (2-2a)lg3=alg2 lg3=alg2/(2-2a) 18^b=5 log(以18为底)5=b 由换底公式lg5/lg18=b lg5/(2lg3+lg2)=b lg5=2blg3+blg2 因为lg3=alg2/(2-2a) 所以lg5=blg2/(1-a) log(36)4...

(log3² log9²)(log4³ log8³) =(lg2/lg3*lg2/[2lg3])*(lg3/[2lg2]*lg3/[3lg2]) =(1/2)*(1/[2]*1/[3]) =1/12

log(6)18=lg18/lg6=(lg2+2lg3)/(lg2+lg3)=(a+2b)/(a+b) log(2)3+log(4)9+log(8)27+.......+log(2^n)3^n =lg3/lg2+lg3^2/lg2^2+lg3^3/lg2^3+...+lg3^n/lg2^n =lg3/lg2+2lg3/2lg2+3lg3/3lg2+...+nlg3/nlg2 =lg3/lg2+lg3/lg2+lg3/lg2+...+lg3/lg2 =...

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