Question

suppose that In 2 = a and In 3 = b. Use properties of logarithms to write each logarithm in terms of a and b. I need help with number 39 and 43. I am confused on how to get the answer. Thanks for your help!

Answer 1

we are given

`a=ln(2)`

`b=ln(3)`

(39)

`ln(6)`

we can write it as

`ln(6)=ln(2*3)`

now, we can use property of log

`ln(6)=ln(2)+ln(3)`

now, we can replace with a and b

and we get

`ln(6)=a+b`............Answer

(43)

`ln(9)`

we can write it as

`ln(9)=ln(3^2)`

now, we can use property of log

`ln(9)=2ln(3)`

now, we can replace with a and b

and we get

`ln(9)=2b`............Answer