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log2 25×log3 4乘 log5 9

原式 =(lg25/lg2)*(lg4/lg3)*(lg9/lg5) =(lg25/lg5)*(lg4/lg2)*(lg9/lg3) =2*2*2 =8

是×还是比大小 ×的话:原式=(lg25/lg2)×(lg4/lg3)×(lg9/lg5) =(2lg5/lg2)×(2lg2/lg3)×(2lg3/lg5) =8 比大小的话:log2 16

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

log25*log 4*log 9 =(2log5)(2log2)(2log3) =8( lg5/lg2)(lg2/lg3)(lg3/lg5) =8

log2(25)*log3(1/16)*log5(1/9)= 16log2(5)*log3(2)*log5(3) 你是实在不会换低。 你可以记住这个公式loga(b)=lna/lnb 其实换低公式就是这样来的。 loga(b)= 1/logb(a) 在用这个公式loga(b)=lna/lnb 进行做。16log2(5)*log3(2)*log5(3)=16*ln5/1n...

log以2为底25的对数乘以以3为底4的对数乘以5为底9的对数 =lg25/lg2*lg4/lg3*lg9/lg5 =2lg5/lg2*2lg2/lg3*2lg3/lg5 =4lg5/lg3*2lg3/lg5 =8

=2log2(5)*2log3(2)*2log5(3) =2log3(5)/log3(2)*2log3(2)*2log5(3) =8log3(5)*log5(3) =8log5(5)/log5(3)*log5(3)=8

log(2)25乘log(3)4乘log(5)9 =lg25/lg2*lg4/lg3*lg9/lg5 =2lg5/lg2*2lg2/lg3*2lg3/lg5 =8.

log2(1\25)×log3(1\8)×log5(1\9) =lg(1\25)/lg2×lg(1\8)/lg3×lg(1\9)/lg5 =lg5^(-2)/lg2×lg2^(-3)/lg3×lg3^(-2)/lg5 =(-2)lg5/lg2×(-3)*lg2/lg3×(-2)*lg3/lg5 =(-2)×(-3)×(-2) =-12

loga b=lnb/lna -->原式=(ln3/ln2)(ln4/ln3)(ln5/ln4)(ln2/ln5)=1 希望有所帮助

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