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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

呃,字比较差

log2(25)乘log3(4)乘log5(9) =log2(5²)乘log3(2²)乘log5(3²) =2log2(5)乘2log3(2)乘2log5(3) =2×2×2×[log2(5)乘log3(2)乘log5(3)] =8

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

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

别说=(lg25/lg2)×(lg4/lg3)×(lg9/lg5) =(2lg5/lg2)×(2lg2/lg3)×(2lg3/lg5) =8 确实是这一个,你的是错误的 本题用了两个公式 一个是换底公式loga b=lgb/lga 另一个是指数的对数 loga b^m=mloga b 如果本题有什么不明白可以追问,如果满意记得采...

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

你好: log2xlog3xlog5 =lg2xlg3xlg5 ≈0.3010x0.4771x0.699 =0.1003813629 log2×log3×log5的值约等于0.1

(log2 3/log2 4+log2 3/log2 8)(log3 5/log3 3+log3 5/log3 9)(log5 2/log5 5+log5 2/log5 25) =[(5log2 3)/6][(3log3 5)/2][(3log5 2)/2] 然后全部换成以2为底的对数得上式=(5/6)(3/2)(3/2)[(log2 3/log2 2)(log2 5/log2 3)(log2 2/log2 5)]...

log以2为底1/25的对数乘log以3为底数1/8的对数乘log以5为底数1/9的对数 =-log2(25) * log3(8) * log5(9) =-2log2(5) * 3log3(2) * 2log5(3) =-12*(lg5/lg2)(lg2/lg3)(lg3/lg5) =-12

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