Question

How do you use the properties of logarithms to expand `lnroot3(t)`?

Answer 1

`lnroot(3)t=1/3lnt`

Explanation:

One of the property of logarithm is that `log_ax^m=mlog_ax`

Hence `lnroot(3)t=lnt^(1/3)=1/3lnt`

Note that `lnx` is nothing but `log_ex`.