Hello all, I'm trying to get values at node for R3 and between R1 and R2. I know the voltage at through the LC is still going to be 9V. Also the Beta is 100. But if I dont have Ic or Ie how can I find either to solve for the base current?

 

What textbook do you have on BJT and Voltage Divider Biasing of BJT?

 

Curious circuit topology. Is it meant to be an tuned (RF) amplifier or an oscillator? It looks rather like a common base RF oscillator.
One of the challenges with the oscillator option is determining what the bias conditions with oscillation will be - as distinct from the steady state non-oscillating or pre-oscillation bias conditions. If the circuit actually settles into something like class C mode (say) when oscillating, then a steady state class A mode bias analysis doesn't apply once oscillation commences & the circuit conditions stabilise.
But one can certainly analyse for the steady state (non-oscillating) bias condtions given the information you have at hand.