Exercise 17 Page 481

To write the given expression as a single natural logarithm, we will use two Properties of Logarithms. Note that these properties also apply for natural logarithms, since a natural logarithm is just a logarithm with base e. For example, in our case log_e x = ln x. Power Property:& n ln m = ln m^n Product Property:& ln m + ln n = ln mn Let's apply the above property to our expression!

4 ln 8 + ln 10

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

ln 8^4 + ln 10

CalcPow

Calculate power

ln 4,096 + ln 10

log(m) + log(n)=log(mn)

ln 4,096(10)

Multiply

Multiply

ln 40,960