Let x = ln 3 and y = ln 5. Write the following expressions in terms of x and y

Question

11. Let x = ln 3 and y = ln 5. Write the following expressions in terms of x and y

a. ln(5/3)
b. ln45

Answer 1

x= ln 3

y=ln 5

 

a) ln(5/3 ) =ln 5 - ln 3 = x -y

 

b)ln 45 =ln( 3)² 5 = ln 3²  + ln 5 = 2ln 3 +ln5 = 2x + y