Rewrite using the power rule. Assume all variables represent positive real numbers.
-$\log _ { 3 } y ^ { 8 }$
A) $3 \log _ { 8 } y ^ { 8 }$
B) $8 \log _ { 3 } y$
C) $3 \log _ { 8 } \mathrm { y }$
D) $8 \log _ { 3 } y ^ { 8 }$

Question

Quizplus · Accepted Answer

The power rule for logarithms states that $\log_b(m^n) = n \log_b(m)$. Applying this rule to $\log_3(y^8)$ gives $8 \log_3(y)$.

Rewrite Using the Power Rule log⁡3y8\log _ { 3 } y ^ { 8 }log3​y8

Rewrite Using the Power Rule $\log _ { 3 } y ^ { 8 }$