已知a^(2/3)=4/9(a>0),则log(2/3)a=?(log(2/3)a是以2/3为底,a的对数）

Question

已知a^(2/3)=4/9(a>0),则log(2/3) a=?
(log(2/3) a是以2/3为底,a的对数）

Answer 1

loga (4/9)=2/3
lg(4/9)/lga=2/3
2lg(2/3)/lga=2/3
lg(2/3)/lga=1/3
log(2/3) a=lga/lg(2/3)=3