2^log(4)(3)加3^log(9)(1/4)加5^log(1/25)(2)
问题描述:
2^log(4)(3)加3^log(9)(1/4)加5^log(1/25)(2)
答
用对数恒等式.2^log(4)(3)+3^log(9)(1/4)+5^log(1/25)(2)=【4^log(4)(3)】^(1/2)+【9^log(9)(1/4)】^(1/2)+【25^log(25)(1/2)】^(1/2)=3^(1/2)+(1/4)^(1/2)+(1/2)^(1/2)=√3+1/2+√2/2....