select the correct answer.\nwhat is the approximate value of this logarithmic expression?\n$log_{8} 24$\na…

select the correct answer.\nwhat is the approximate value of this logarithmic expression?\n$log_{8} 24$\na. 1.38\nb. 0.90\nc. 1.53\nd. 0.48

select the correct answer.\nwhat is the approximate value of this logarithmic expression?\n$log_{8} 24$\na. 1.38\nb. 0.90\nc. 1.53\nd. 0.48

Answer

Explanation:

Step1: Apply change of base formula

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

Step2: Calculate natural logs

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

Step3: Divide to find value

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

Answer:

C. 1.53