Question

已知3^x=12^y=8，则

1

x

-

1

y

=______．

Answer 1

∵3^x=12^y=8
则x=log₃8=

1

log83

    y=log₁₂8=

1

log812

∴

1

x

-

1

y

=log₈3-log₈12=-

2

3

log₂2=-

2

3

故答案为-

2

3

．