Transformations of random variables with the uniform distribution

This is probably hellishly easy, but I'm just not getting it.

*$\displaystyle X$ is uniformly distributed over $\displaystyle (0,1)$. For the random variable $\displaystyle Y=-log_{e}(X)$*

*i) State the range of values $\displaystyle Y$ can take.*

*ii) Obtain the distribution function of $\displaystyle Y$, $\displaystyle F_{Y}(y)$.*

*iii) Obtain and identify the probability density function of $\displaystyle Y$, $\displaystyle f_{Y}(y)$.*

Cheers for any help in advance.