(ln1/3+ln1+ln3+ln9+…+ln729)log3^e
问题描述:
(ln1/3+ln1+ln3+ln9+…+ln729)log3^e
答
(ln1/3+ln1+ln3+ln9+…+ln729)log3(e)
=ln(1/3*1*3*9*...*729)*log3(e)
=ln3^(-1+0+1+2+3+4+5+6)log3(e)
=20*ln3*log3(e)
=20*lne
=20