Question

计算log3

3 3 - 3

n

=______．

Answer 1

原式=log₃3

1

2

•3

1

4

•…3

1

2n

=log₃3

1

2

+

1

4

+…+

1

2n

=log33(1-

1

2n

)
=1-

1

2n

故答案为1-

1

2n