Question

evaluate using your calculator and round to 4 decimal places.

\\(\log_{11} 79 = \\)

Explanation:

Step1: Apply change of base formula

$$\log_{11} 79 = \frac{\ln(79)}{\ln(11)}$$

Step2: Calculate natural logarithm values

$$\ln(79) \approx 4.369448, \quad \ln(11) \approx 2.397895$$

Step3: Divide and round to four decimals

$$\frac{4.369448}{2.397895} \approx 1.822199 \approx 1.8222$$

Answer:

1.8222