Use the following approximations to find the approximate value of the logarithmic expression:
$\log _ { b } 3 \approx 0.5 \quad \log _ { b } 8 \approx 0.9$
$\log _ { b } 5 \approx 0.7 \quad \log _ { b } 20 \approx 1.3$
-$\log _ { b } \frac { 3 } { 5 }$
A) $0.6$
B) $- 2$
C) $- 0.2$
D) $0.2$

Question

Use the following approximations to find the approximate value of the logarithmic expression: 
$\log _ { b } 3 \approx 0.5 \quad \log _ { b } 8 \approx 0.9$
$\log _ { b } 5 \approx 0.7 \quad \log _ { b } 20 \approx 1.3$
-$\log _ { b } \frac { 3 } { 5 }$
A) $0.6$
B) $- 2$
C) $- 0.2$
D) $0.2$

Quizplus · Accepted Answer

Using the properties of logarithms, $\log_b \frac{3}{5} = \log_b 3 - \log_b 5$. Substituting the given values, we get $0.5 - 0.7 = -0.2$.

Use the Following Approximations to Find the Approximate Value of the Logarithmic