2
QuizMultiple Choice

Properties of Logarithms — Quiz

Question 2 • Mathematics III

What is log sub 15 2 cubed rewritten using the power property?

Answer
A
3 log sub 15 2
B
the log base 15 of 6
C
the log base 15 of 5
D
2 log sub 15 3

Explanation

The power property of logarithms says that an exponent inside a logarithm can be moved in front as a coefficient: log_b(x^n) = n log_b(x). Therefore, log base 15 of 2 cubed becomes 3 log base 15 of 2, which is choice A.

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