Logarithm Rules: Expanding Logarithms | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | In this example were asked to expand the given log | |
| 00:03 | arrhythmic expression log base three of m squared into the | |
| 00:09 | fifth . Remember that ? Our first law of logarithms | |
| 00:14 | states that if two values are multiplied together inside algorithm | |
| 00:20 | , such as M squared times and to the fifth | |
| 00:25 | , Then we can expand the law algorithm into the | |
| 00:28 | sum of two separate logarithms . In this case , | |
| 00:33 | log base three of m squared plus log base three | |
| 00:38 | of end to the fifth , next notice that each | |
| 00:42 | Law algorithm has a power inside the law algorithm . | |
| 00:46 | And remember that our third law of logarithms states that | |
| 00:51 | if we have a power inside al algorithm , we | |
| 00:54 | can move the exponents to the front of the law | |
| 00:57 | algorithm . So we have two times log base three | |
| 01:01 | of them plus five times . Log base three of | |
| 01:06 | them . |
Summarizer
DESCRIPTION:
To simplify 81 to the ½, remember from our study of rational exponents that an exponent of ½ means that we take the square root of the base. In other words, 81 to the ½ means the same thing as the square root of 81. And the square root of 81 is 9. So 81 to the ½ is 9
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