Lg, the logarithm (common logarithm) based on 10, such as lg 10= 1.

Log operations have the following properties

1、alogab=b a^{log(a^b)}=b

2、loga(MN)=logaM+logaN

log{a^(MN)}=log(a^M)+log(a^N)

3、loga(M÷N)=logaM-logaN

log{a^(M/N)}=log(a^M)-log(a^N)

4、loga(Mn)=nlogaM

log{a^(M^n)}=nlog(a^M)

5、log(an)(M)= 1/nlogaM

log{(a^n)^M}= 1/nlog(a^M)

Clever use can solve this kind of problem.