Exercise 47 Page 481

To simplify the given expression, we will use the Power Property of Logarithms. Note that these properties also apply for natural logarithms, since a natural logarithm is just a logarithm with base e. For example, ln x = log_e x. Power:& log_b m^n = n log_b mLater, we will use a commonly known fact about natural logarithms. ln e = 1 Let's apply the above properties to our expression!

ln e^2

ln(a^b)= b*ln(a)

2 (ln e)

ln(e) = 1

2 (1)

MultByOne

a * 1=a

2