select the correct answer.\nwhat is the approximate value of this logarithmic expression?\n\\log_{5} 18\na…

select the correct answer.\nwhat is the approximate value of this logarithmic expression?\n\\log_{5} 18\na. 2.89\nb. 1.80\nc. 0.56\nd. 1.28

select the correct answer.\nwhat is the approximate value of this logarithmic expression?\n\\log_{5} 18\na. 2.89\nb. 1.80\nc. 0.56\nd. 1.28

Answer

Explanation:

Step1: Apply change of base formula

$\log_{5}18 = \frac{\ln 18}{\ln 5}$

Step2: Calculate natural logarithms

$\ln 18 \approx 2.8904$, $\ln 5 \approx 1.6094$

Step3: Divide the two values

$\frac{2.8904}{1.6094} \approx 1.80$

Answer:

B. 1.80