Question

select the correct answer.
what is the approximate value of this logarithmic expression?
\log_{5} 18
a. 2.89
b. 1.80
c. 0.56
d. 1.28

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