Couldn't get much information on Conduit toolbar API here. This is a work-around that i thought of, hope this can help others.
var writeToConsoleScriptStr = 'console.log("your message here");';
JSInjection(writeToConsoleScriptStr);
This is helpful if you need to use other matters related to your page as well, for example using Jquery to run code when tab is focused/blurred. By the way, Both the writing to the console and JQuery for tab-switching events ran on all browsers that i checked, which was a nice touch.
Of course for running Jquery the actual page requires the page to include jquery which you can also achieve by injecting it the same way. (At a certain cost)
i'm hoping this may help somebody.