SV#3: Unit H Concept 7 - Finding logs given approximations

         



           In order to understand, the viewer needs to pay special attention to their clues. These clues are what guide you to the rest of the problem and what start you off. When trying to expand the numerator and denominator of the log by using the factor tree, you can only use the clues in the factor tree. The "branches" in your factor tree should all be a number that is found in the clues. Make sure all your branches are or your problem answer will be incorrect. Before you check your branches make sure the clues you already know (refer to the video if you don't know what I'm talking about). If a branch is not one of the numbers found in the clue, you must keep factoring until they are. If no further factorization is possible and your factor tree branches are still not numbers found in the clue then you must multiply by 2 or 3 or 4, etc (could be any number) and factor tree again until they are. Luckily, that is not the case in this problem because all the factors are prime numbers. After you have your logs, expand using the product and quotient laws. Make sure if you have more than one of the same clue you add the number of same clues as a number coefficient in front of your log (since it is the same it is like a number exponent --- power law), this will mean you have that many of the values in the clues. Combine like terms at the end so your final answer after substitution is correct. Other than that, you're all set.

Good luck and thank you!