-Given that $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$ evaluate $\log _ { a } \frac { 11 } { 5 }$.
A) 4.007
B) -0.788
C) 0.789
D) 1.49

Name: -Given that $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$ evaluate $\log _ { a } \frac { 11 } { 5 }$. A) 4.007 B) -0.788 C) 0.789 D) 1.49
Brand: Quizplus
Rating: 4.7 (37 reviews)

Question

-Given that $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$ evaluate $\log _ { a } \frac { 11 } { 5 }$.
A)  4.007 
B)  -0.788 
C)  0.789 
D)  1.49

Quizplus · Accepted Answer

The logarithm of a quotient is the difference of the logarithms: $\log_a \frac{11}{5} = \log_a 11 - \log_a 5 = 2.398 - 1.609 = 0.789$.

-Given That log⁡a11=2.398 and log⁡a5=1.609\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609loga​11=2.398 and loga​5=1.609

-Given That $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$