Express as a sum of logarithms.
-$\log _ { 4 } ( 5 \cdot 11 )$
A) $\log 5 + \log 11 + \log 4$
B) $\log ( 5 + 11 + 4 )$
C) $\log _ { 4 } 5 + \log _ { 4 } 11$
D) $\log _ { 2 } 5 + \log _ { 2 } 11$

Question

Quizplus · Accepted Answer

The logarithm of a product can be expressed as the sum of the logarithms of its factors, maintaining the same base. Therefore, $\log _ { 4 } ( 5 \cdot 11 )$ simplifies to $\log _ { 4 } 5 + \log _ { 4 } 11$.

Express as a Sum of Logarithms log⁡4(5⋅11)\log _ { 4 } ( 5 \cdot 11 )log4​(5⋅11)

Express as a Sum of Logarithms $\log _ { 4 } ( 5 \cdot 11 )$