Use properties of logarithms or a definition to simplify the expression.
If , find .

Question

Use properties of logarithms or a definition to simplify the expression. ​
If  , find  .
​

Quizplus · Accepted Answer

We can use the property Logb (M^n) = n Logb M
As log 3 (5^3) = 3 log 3 5, and log 3 5 = 11ea984b_adda_ad0a_9029_7d2437764c63_TB4005_11.
Therefore, 11ea984b_adda_ad0b_9029_53fcdae1d90c_TB4005_11 = log 3 (5^3 × 7) = log 3 5^3 + log 3 7 = 3 log 3 5 + log 3 7 = 3(11ea984b_adda_ad0a_9029_7d2437764c63_TB4005_11) + log 3 7 = 11ea984b_adda_fb2f_9029_c39b3947fb97_TB4005_11. Therefore, the choice is D.

Use Properties of Logarithms or a Definition to Simplify the Expression