1. ## natural log of a radian

This question is part of a bigger problem.
I need to take the $\displaystyle ln(\frac{\pi}{4})$ & $\displaystyle ln(\frac{\pi}{6})$

I cannot use a calculator for these.
How do I simplify this?
apparently the first one can be written as ln(3/2), and the other one is jus 1.

How do I figure these out?!

2. Originally Posted by Vamz
This question is part of a bigger problem.
I need to take the $\displaystyle ln(\frac{\pi}{4})$ & $\displaystyle ln(\frac{\pi}{6})$

I cannot use a calculator for these.
How do I simplify this?
apparently the first one can be written as ln(3/2), and the other one is jus 1.

How do I figure these out?!
I'm not sure whether this is meant to be a joke (?) or not.

Since $\displaystyle \pi < 4$ and $\displaystyle \pi < 6$ the logarithms of the quotients must be negative.

So again: How did you get your results?

3. Originally Posted by Vamz
This question is part of a bigger problem.
I need to take the $\displaystyle ln(\frac{\pi}{4})$ & $\displaystyle ln(\frac{\pi}{6})$

I cannot use a calculator for these.
How do I simplify this?
apparently the first one can be written as ln(3/2), and the other one is jus 1.
No, "e" is the only number whose natural logarithm is 1 and it is NOT equal to $\displaystyle \pi/6$.
Nor is $\displaystyle \pi/4$ equal to 3/2.

How do I figure these out?!