Question

select the correct answer.
what is the approximate value of this logarithmic expression?
\log_{8} 24
a. 0.90
b. 0.48
c. 1.53
d. 1.38

Explanation:

Step1: Apply change of base formula

$\log_{8}24 = \frac{\ln 24}{\ln 8}$

Step2: Calculate natural logarithms

$\ln 24 \approx 3.1781$, $\ln 8 \approx 2.0794$

Step3: Divide to find value

$\frac{3.1781}{2.0794} \approx 1.53$

Answer:

C. 1.53