2的log底数为4指数为3次方怎么算,思路还有答案,

题目

2的log底数为4指数为3次方怎么算,思路还有答案,
是2^log(4)3 =

答案

2^[log4(3)]
=2^[log2^2(3)]
=2^[lg3/lg2^2]
=2^(lg3/2lg2)
=2^[(1/2)*log2(3)]
=2^[log2(√3)]
=√3