:
solve using logarithms. round the solution to the nearest hundredth. show your work.
(you will need to use a calculator at some point)

To solve this problem we are going to use the power rule of logarithms: . Or in words: the logarithm of a power is the power times the logarithm of the base. 
So, the first thing we are going to do is take natural logarithm, , to both sides of our equation:

Now, by the power rule of logarithms:










Using our calculator we can conclude that is approximately -1.211 

The second step on the test was the move he was supposed to