已知log189=a,18b=5,用a,b表示log3645.

问题描述:

已知log189=a,18b=5,用a,b表示log3645.

∵18b=5,
∴b=log185,
又log189=a,
∴log3645=

log1845
log1836
=
log189+log185
log18
324
9
=
a+b
log18182−log189
=
a+b
2−a