Logarithms 10b
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Lesson Summary:
In this lesson, we learn how to use the product, quotient, and power properties of logarithms by writing a sum or difference as one logarithm. The video showcases multiple problems being solved using these properties, including simplified expressions with coefficients and multiple bases. By the end of the lesson, the viewer will have a better understanding of how to manipulate logarithmic expressions to write them as a single log.
Lesson Description:
Practice using the product, quotient, and power properties of logs by writing a sum or difference as one logarithm.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How can you use the properties of logarithms to evaluate logarithmic expressions?
- How do you write sums and differences of logarithms as a single logarithm?
- How do you write (1/2)*log base 4 of x - 3*log base 4 of (x - 1) as a single logarithm?
- How do you write 2*log base 5 of m - (2/3)*log base 5 of 8 + (1/2)*log base 5 of (m + 1) as a single logarithm?
- How do you write 2*log n - 3*log x^2 + (1/3)*log 5 as a single logarithm?
- How do you write 7*log base 5 of x + (2/3)*log base 5 of x - 3*log base 5 of 2x as a single logarithm?
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Staff Review
This lesson shows how to use the properties of logarithms to simplify and combine sums and differences of logarithms into a single logarithm. All steps involved and all rules / properties used are shown and explained along the way. This is a great practice set for using your properties of logarithms to simplify and combine logarithms.
