Express as a difference of logarithms.
-$\log _ { 7 } a ^ { 4 }$
A) $\log ( 7 \cdot a \cdot 4 )$
B) $\log _ { 7 } a \cdot \log _ { 7 } 4$
C) $4 \log _ { 7 } a$
D) $\log 7 \cdot \log a \cdot \log 4$

Name: Express as a difference of logarithms. -$\log _ { 7 } a ^ { 4 }$ A) $\log ( 7 \cdot a \cdot 4 )$ B) $\log _ { 7 } a \cdot \log _ { 7 } 4$ C) $4 \log _ { 7 } a$ D) $\log 7 \cdot \log a \cdot \log 4$
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Question

Quizplus · Accepted Answer

The logarithmic property $\log_b(m^n) = n \log_b(m)$ allows us to express $\log_7(a^4)$ as $4 \log_7 a$.

Express as a Difference of Logarithms log⁡7a4\log _ { 7 } a ^ { 4 }log7​a4

Express as a Difference of Logarithms $\log _ { 7 } a ^ { 4 }$