Perform the following calculations and express answer to the nearest hundredth. $\frac { 5 \ln 8 } { \ln 6 }$
A) 6.00
B) 5.80
C) 5.70
D) 6.20
E) 5.50

Name: Perform the following calculations and express answer to the nearest hundredth. $\frac { 5 \ln 8 } { \ln 6 }$ A) 6.00 B) 5.80 C) 5.70 D) 6.20 E) 5.50
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Question

Quizplus · Accepted Answer

Using the change of base formula, we have:
$$\frac{5\ln 8}{\ln 6} = \frac{5\cdot\ln (2^3)}{\ln (2\cdot 3)} = \frac{15\ln 2}{\ln 2+\ln 3} = \frac{15}{1+\log_2 3} \approx \boxed{5.80}$$

Perform the Following Calculations and Express Answer to the Nearest 5ln⁡8ln⁡6\frac { 5 \ln 8 } { \ln 6 }ln65ln8​

Perform the Following Calculations and Express Answer to the Nearest $\frac { 5 \ln 8 } { \ln 6 }$