use properties of logarithms to expand the logarithmic expre

use properties of logarithms to expand the logarithmic expression as much as possible.
log (base b) (x^4z)

Solution

Log (base b) (x^4z)

Using log(xy) = logx + logy, we have :

log(baseb) x^4 + log(baseb) z

Now, using formula log(m^n) = n*log(m), we have :

4log(base b) x + log(base b) z ----> ANSWER