How can I console.log the value of a observable?

With a regular observable you only get the value when it changes, so if you want to console.log out the value you will need to console.log it in the subscription:

constructor(
    private store: Store<any>
  ) {
    this.count = this.store.select<any>(state => state.count);
    this.count.subscribe(res => console.log(res));
  }

However if you are wanting to be able to get the current value at any time what you will be wanting is a BehaviorSubject (which combines an Observable and an Observer in function…import it from the rxjs library like you do Observable).

private count:BehaviorSubject<number> = new BehaviorSubject<number>(0);

constructor(
    private store: Store<any>
  ) {
    let self = this;
    self.store.select<any>(state => self.count.next(state.count));
  }

Then any time you want to get the current value of the count you would call this.count.getValue() to change the value you would call this.count.next(<the value you want to pass in>). That should get you what you are looking for.