log2

2

3

+

1

2

log218+(

16

9

)-

1

2

-(

2

-1)0=1-log₂3+

1

2

log₂（9x2）+

3

4

-1

=1-log₂3+log₂3+

1

2

+

3

4

-1=

5

4

，

故答案为

5

4

．