Rewrite the logarithm as a ratio of common logarithms.
$\log _ { 5 } 19$
A) $\frac { \log 19 } { \log 5 }$

B) $\log \frac { 19 } { 5 }$

C) $\frac { \log 5 } { \log 19 }$

D) $\log \frac { 5 } { 19 }$

E) None of these

Question

Rewrite the logarithm as a ratio of common logarithms. 
$\log _ { 5 } 19$ 
A) $\frac { \log 19 } { \log 5 }$

B) $\log \frac { 19 } { 5 }$

C) $\frac { \log 5 } { \log 19 }$

D) $\log \frac { 5 } { 19 }$

E) None of these

Quizplus · Accepted Answer

The base of the logarithm is 5, which is not a common base. We can use the change of base formula to express the logarithm as a ratio of common logarithms: $\log_5 19 = \frac{\log 19}{\log 5}$. Therefore, the answer is $\boxed{	ext{(A)}}$.

Rewrite the Logarithm as a Ratio of Common Logarithms log⁡519\log _ { 5 } 19log5​19

Rewrite the Logarithm as a Ratio of Common Logarithms $\log _ { 5 } 19$