Question 316313
log (x^4 * x)/(y^2).

You must use the division rule for logs which is

log(TOP/BOTTOM) = log(TOP) - log(BOTTOM).

Let TOP = x^4 * z

Let BOTTOM = y^2

We now plug and chug.

log(x^4 * z)/(y^2) = logx^4*z - logy^2.

We now bring down each exponent and place them in front of the word log for each term.

The final answer is 4(logz) - 2(logy).