Use properties of logarithms to expand the logarithmic expre

Use properties of logarithms to expand the logarithmic expression as much as possible. Enter your answer in the answer box

Solution

ln(e^6/12)

Using log properties : log(A/B) = logA - logB and logA^x = xlogA

Using the above properties:

ln(e^6/12) = ln(e^6) -ln(12)

= 6lne -ln12

Nowe lne = 1

So, = 6 -ln12

ln(e^6/12) = 6 - ln12