log2倍根号2(32倍5次根号4)

问题描述:

log2倍根号2(32倍5次根号4)

log2倍根号2(32倍5次根号4)=以2^(3/2)为底(2^5*2^(2/5))的对数
=(5+2/5)/(3/2)=54/15

可将底数与真数同时换为2的幂形式,原式=log[2^(3/2)][2^(2/5 +5)]
=[(27/5)lg2]/[(3/2)lg2]
=(27/5)×(2/3)=18/5