Question

Write the expression as a single natural logarithm. 3ln3 + 3lnc

A. ln(27 + c^3)
B. ln9c^3
C. ln27c
D. ln27c^3

Answer 1

Using the rules of logarithms, you can change it to 

ln($3^{3}$) + ln($c^{3}$) = 

ln(27$c^{3}$)

This is because when you have a factor in front of a logarithm, that turns into an exponent, and when you add logarithms, you multiply the factors inside of the logarithm.  

So your final answer is D.