Use the power property to rewrite the expression.
-$\log _ { 2 } 3 ^ { - 4 }$
A) $- 4 \log _ { 2 } 3$
B) $- 8 \log 3$
C) $2 \log _ { 4 } 3$
D) $3 \log _ { 2 } 4$

Name: Use the power property to rewrite the expression. -$\log _ { 2 } 3 ^ { - 4 }$ A) $- 4 \log _ { 2 } 3$ B) $- 8 \log 3$ C) $2 \log _ { 4 } 3$ D) $3 \log _ { 2 } 4$
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Question

Quizplus · Accepted Answer

The power property of logarithms states that $\log_b(m^n) = n \log_b(m)$. Applying this to $\log_2(3^{-4})$ gives $-4 \log_2(3)$.

Use the Power Property to Rewrite the Expression log⁡23−4\log _ { 2 } 3 ^ { - 4 }log2​3−4

Use the Power Property to Rewrite the Expression $\log _ { 2 } 3 ^ { - 4 }$