求log₂25×log₃2√2×log(5)9的结果,

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log₂25=log₂5^2 =2log₂5=2log5 / log2
log₃2√2=log₃2^(3/2)=(3/2)log₃2=(3/2)*(log2 /log3)=3log2 /2log3
log(5)9=log(5)3^2=2log(5)3 =2*(log3/log5)=2log3 /log5
所求=2log5 / log2 * 3log2 /2log3 *2log3 /log5 =6...ans

求log₂25×log₃2√2×log(5)9的结果, 如何计算2^log(2)*5^log(5)*2^log(5)*5^log(2) 的结果? log(2)(25)*log(3)(根号2)*log(5)(9) 计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为用换底公式求log（2）25乘log（3）4乘log（5）9的值 (log(2)125+log(2)25+log(8)5)*(log(125)2+log(25)4+log(5)8) log(3)2-log(3)32/9+log(3)16 - 5的2log（5)3次方 [log(5)√2·log(49)81]/[log(25)(1/3)·log(7)三倍根号四] 化简(log(2)(5)+log(4)(0.2))(log(5)(2)+log(25)(0.5)) 2^log(4)(3)加3^log(9)(1/4)加5^log(1/25)(2) log(2)1/25乘以log(3)1/8乘以log(5)1/9 log（2）25×log（3）4×log （5）9等于多少?