To determine

To find: Expand the quantity ln(s4tu)

Answer

4lns+12lnt+14lnu_

Explanation

Given data: ln(s4tu)

Formula used:

lnab=blna

lnx+lny  =ln(xy)

Calculation:

Consider

y=ln(s4tu)

y=ln(s4)+ln(tu)

y=ln(s4)+ln(tu)12

y=ln(s4)+12ln(tu)

y=4ln(s)+12[ln(t)+ln(u)]

y=4ln(s)+12[ln(t)+12ln(u)]

y=4lns+12lnt+14lnu

Thus, exact value of ln(s4tu) is 4lns+12lnt+14lnu_

Conclusion: 4lns+12lnt+14lnu_