So without using a calculator, determine the answer to the following questions. So here we have a log of 1.0 * 10 to the five. So just like up above, the log is getting distributed to the one and to the 10 to the 5th. So we're going to say here because they're multiplying. What this really means is we have log of one plus log of 10 to the 5th. Remember up above we said that log of one is equal to 0 and then this is log base 10. So this cancels out with this giving us five at the end. So here log of that number would be 5.

Now this is easy to remember in terms of figuring out the log of an answer really quickly, but if this number happens to be a number different from 1:00, then it's best to input it into your calculator because if it's log of any other number, this part won't be equal to 10 and you haven't memorized what those numbers are because you have your calculator. So again, this works best when we have log of 1.0 * 10 to any power.

And then finally this one. Here we have log of 0.0001. We want to change this, so we're going to say that if we move this over and change it to scientific notation, then we have log of 1.0 * 10 to the -4. So just becomes like the one we just did. The law gets distributed to both, so this is log of one plus log of 10 to the -4. Log of one is just zero. This is base 10, which cancels out with this, which gives me -4. So it would be 0 + -4. So the answer here would be -4 as my final answer.

So these are just the basics when it comes to log functions. They're going to become important when we're talking about chapters dealing with chemical kinetics. Also will come in handy when we're talking about determining pH or POH of different solutions. That's when log functions really come out and we have to do different types of mathematical manipulations to get our answer at the end. But for now, just remember the basics when it comes to these blog functions here.