Compare the expressions by approximating their values on a calculator. Which two expressions are equivalent?
I. $\log \left( \frac { 9 } { 7 } \right)$
II. $\frac { \log 9 } { \log 7 }$
III. $\log 9 - \log 7$

A) $\mathbf { I }$ and II
B) $\mathbf { I }$ and III
C) II and III
D) None are equivalent

Question

Compare the expressions by approximating their values on a calculator. Which two expressions are equivalent? 
I. $\log \left( \frac { 9 } { 7 } \right)$
II. $\frac { \log 9 } { \log 7 }$
III. $\log 9 - \log 7$

A) $\mathbf { I }$ and II
B) $\mathbf { I }$ and III
C) II and III
D) None are equivalent

Quizplus · Accepted Answer

I and III are equivalent because both represent the logarithm of the quotient 9/7, according to the logarithm property $\log a - \log b = \log(a/b)$.

Compare the Expressions by Approximating Their Values on a Calculator log⁡(97)\log \left( \frac { 9 } { 7 } \right)log(79​)

Compare the Expressions by Approximating Their Values on a Calculator $\log \left( \frac { 9 } { 7 } \right)$