If you remember the rules of exponents and keep in mind that exponential functions and logarithmic functions are inverses, then it should be intuitive to you that logarithms follow the same types of rules as exponents.
Notice that multiplication and addition are paired up with logs in the same ways that they're paired up for exponents. The same for division and subtraction.
The power rule for logarithms states that an exponent can be pulled out in front of the logarithm before evaluating the logarithm. See the example. You can see how this will help us solve exponential equations such as 2^x=5 later, but for now, let's practice applying the properties of logarithms to expand and contract logarithmic expressions.
Try the following problems and watch the rest of the video for the full solution.
The power rule for logarithms states that an exponent can be pulled out in front of the logarithm before evaluating the logarithm. See the example. You can see how this will help us solve exponential equations such as 2^x=5 later, but for now, let's practice applying the properties of logarithms to expand and contract logarithmic expressions.
Try the following problems and watch the rest of the video for the full solution.
Finally, here is a video on everything you need to know for logarithms just in case you've missed a few things or want another general overview of topics covered so far. It also goes a little into our next section (second half of the video) if you want to get ahead! :)