Question

关于log的所有公式及推断

Answer 1

(1)loga(M.N)=longaM+longaN

(2)longa(M/N)=longaM-longaN

(3)logaM的n次方=nlogaM

(4)logaM的n次开方=logaM的n次方分之一,或=1/nlogaM

(5)loga的n次方M,=1/nlogaM

(6)logaa=1

(7)alogaN=N(a>0且a不等于1,N>0)

(8)logab=logmb/logma(换底公式)

ps

lg10=lg(常用对数)

loge=ln(自然对数)

loga1=0