Property of ln(sqrt(x)) = (1/2)ln(x)

[jwpaine]

Hi. I don't understand why all ln(sqrt(x)) = (1/2)*ln(x)

Where does that (1/2) come from?

 

[skeeter]

\(\displaystyle \L \sqrt{x} = x^{\frac{1}{2}}\)

 

[jwpaine]

lol.. oh yeah.

Just like x^(1/3) is the cube root of x

So ln(sqrt(x)) = ln(x)^(1/2) = (1/2)ln(x)

Thanks for the help.