Find the value of the expression.
-Let $\log _ { b } A = 5$ and $\log _ { b } B = - 4$. Find $\log _ { b } B ^ { 2 }$.
A) $- 8$
B) $- 16$
C) 16
D) 10

Name: Find the value of the expression. -Let $\log _ { b } A = 5$ and $\log _ { b } B = - 4$. Find $\log _ { b } B ^ { 2 }$. A) $- 8$ B) $- 16$ C) 16 D) 10
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Question

Quizplus · Accepted Answer

Using the power rule of logarithms, $\log_b B^2 = 2 \log_b B$. Given $\log_b B = -4$, then $\log_b B^2 = 2 \times (-4) = -8$.

Find the Value of the Expression log⁡bA=5\log _ { b } A = 5logb​A=5

Find the Value of the Expression $\log _ { b } A = 5$