log4 18
=lg18/lg4
=(lg9+lg2)/(lg2²)
=(2lg3+lg2)/(2lg2)
=(2b+a)/(2a)
=(b/a)+(1/2)
=========
换底公式:log(a)b=lgb/lga
证明:设log(a)b=t
则a^t=b,两边取以10为底的对数
lga^t=lgb
tlga=lgb
所以t=lgb/lga
所以log(a)b=lgb/lga
log4 18
=lg18/lg4
=(lg9+lg2)/(lg2²)
=(2lg3+lg2)/(2lg2)
=(2b+a)/(2a)
=(b/a)+(1/2)
=========
换底公式:log(a)b=lgb/lga
证明:设log(a)b=t
则a^t=b,两边取以10为底的对数
lga^t=lgb
tlga=lgb
所以t=lgb/lga
所以log(a)b=lgb/lga