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Expand each logarithm using the properties of logarithms.

a. log base b sqrt (3/7)

b. log 7x^3y^5

1 Answer

3 votes
a. = logb (3/7)^1/2
= logb 3^1/2 - logb 7^1/2
= 1/2(logb 3 - logb 7)

b. = log 7x^3 + log y^5
= log 7 + log x^3 + log y^5
= log 7 + 3 log x + 5 log y
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