Question

How do you express in terms of ln2 and ln3 given `ln 3 sqrt 2`?

Answer 1

`ln(3sqrt(2)) = ln(3) + 1/2ln(2)`

Explanation:

Using the properties that `ln(ab) = ln(a) + ln(b)` and `ln(a^x) = xln(a)`, we have:

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

`=ln(3) + ln(2^(1/2))`

`=ln(3) + 1/2ln(2)`