Math problem concerning natural log.

I have a calculus final Wednesday,and I thought this might be important.

Why does 1/2 ln 3 = sqr.3?

just to extent the answer to the other contributor's,
for the log of any base a, say,
any positive number x
and any rational power p/q
(p/q) * log_a x = log_a x^(p/q)

So in your case, with the natural logarithm to base e
(1/2) ln 3 = ln 3^(1/2)
= ln (sqrt 3)

It doesn't. You need an ln on the right side.

1/2 ln 3 = ln (sqrt 3)