Can this equation be simplified? (involves ln's & quotients within ln's)

This equation: t_c=t_a ⁄ (e^[ln(t_a ⁄ t_b)ln(d_a ⁄ d_c)/ln(d_a ⁄ d_b)])
Here are the variables:
t_a , d_a,
t_b , d_b,
t_c , d_c .

This picture of the equation is easier to read: http://i45.tinypic.com/eum4vn.png
Thanks!

No, it cannot be simplified

You could rewrite as follows:

tc = ta / e^[ ln(ta/tb) ln(da/dc) / ln(da/db) ]
tc = ta / [e^ln(ta/tb)]^[ln(da/dc) / ln(da/db)]
tc = ta / (ta/tb)^[ln(da/dc) / ln(da/db)]

but this doesn't really make it much simpler.

plz refer ramanujan product rule with dirichlet coeff.

it would simplify to t_b