Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log. log ⁡ 2 3789 \log_23789 lo g 2 3789

In this problem, we're asked to evaluate the given log using the change of base formula in the calculator. And here we want to use natural logs or log base e. Now the log we're given is log base 2 of 3,789, which looks a little bit crazy, but remember, we're just gonna change that base and plug this right into our calculator. So changing our base here using our change of base formula, we're going to change these to natural logs. So I'm going to have the natural log of this 3,789 on the top of my fraction and then dividing by the natural log that's my log with my new base that I want of this base, which is 2. So this becomes natural log of 3,789 divided by the natural log of 2. And now we can go ahead and just type this right into our calculator using that l n button. Now once you do this, rounding to the nearest 100ths place, I'm going to get about 11.89. And that's my final answer here. Thanks for watching and I'll see you in the next one.