Use the following approximations to find the approximate value of the logarithmic expression: $\log _ { b } 3 \approx 0.5$ logb $8 \approx 0.9$
$\log _ { b } 5 \approx 0.7$ logb $20 \approx 1.3$
-$\log _ { b } \sqrt [ 3 ] { 8 }$ Round answer to nearest hundredth.
A) $0.45$
B) 2
C) $2.7$
D) $0.3$

Question

Quizplus · Accepted Answer

$\log_b \sqrt[3]{8} = \log_b 8^{1/3} = \frac{1}{3} \log_b 8 \approx \frac{1}{3} \times 0.9 = 0.3$.

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