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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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.