Question

multiple choice 1 point 28) evaluate: \\(\log_{3}\left(\frac{1}{27}\
ight)\\) a. 4 b. -3 c. -4 d. 3

Explanation:

Step1: Rewrite denominator as power of 3

$\frac{1}{27} = 3^{-3}$

Step2: Apply logarithm power rule

$\log_{3}(3^{-3}) = -3\log_{3}(3)$

Step3: Evaluate $\log_{3}(3)$

$\log_{3}(3) = 1$, so $-3 \times 1 = -3$

Answer:

B. -3