The derivation of logarithm operation property 3 Use ^ to express the power and log (a) (b) to express the logarithm of B with a as the base log(a)(M^n)=nlog(a)(M) I want to know the derivation process of this formula!

The derivation of logarithm operation property 3 Use ^ to express the power and log (a) (b) to express the logarithm of B with a as the base log(a)(M^n)=nlog(a)(M) I want to know the derivation process of this formula!

Let log (a) (m ^ n) = X
a^x=M^n
a^(x/n)=M
log(a)(M)=x/n
nlog(a)(M)=x
So log (a) (m ^ n) = NLog (a) (m)